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<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Normal257" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="4" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 2" alignment="left" bullet="alphabetic" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
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</Styles>
<Page-Numbers enabled="false" first-number="1" first-numbered-page="1" horizontal-location="right" style="Page Number" vertical-location="bottom"/>
<Task-table>
    <Task-category name="&lt;default&gt;">
    </Task-category>
</Task-table>
<Annotation-table>
    <Annotation-category name="&lt;default&gt;">
    </Annotation-category>
</Annotation-table>
<Task>
</Task>
<Group labelreference="L55" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Example 5.2.5  Two Coupled PDEs</Text-field>
</Input>
</Group>
<Group labelreference="L54" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;</Text-field>
</Input>
</Group>
<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(linalg):with(plots):</Text-field>
</Input>
</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ge[1]:=diff(u[1](x,t),t)=diff((u[2](x,t)-1)*diff(u[1](x,t),x),x)+(16*x*t-2*t-16*(u[2](x,t)-1))*(u[1](x,t)-1)+10*x*exp(-4*x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2dlRzYiNiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2JEkieEdGJUkidEdGJUYyLCoqJi1GKjYkLSZGLzYjIiIjRjBGMUYnLUYqNiRGLUYxRidGJyomLCZGN0YnRichIiJGJy1GKjYkRi0tSSIkR0YrNiRGMUY6RidGJyomLCoqKCIjO0YnRjFGJ0YyRidGJyomRjpGJ0YyRidGPyomRkhGJ0Y3RidGP0ZIRidGJywmRi1GJ0YnRj9GJ0YnKigiIzVGJ0YxRictSSRleHBHNiRGK0koX3N5c2xpYkdGJTYjLCQqJiIiJUYnRjFGJ0Y/RidGJw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIiNiRJInhHRipJInRHRipGLywqKiYtRiQ2JC0mRik2IyIiI0YtRi5GLC1GJDYkRidGLkYsRiwqJiwmRjRGLEYsISIiRiwtRiQ2JEY4Ri5GLEYsKiYsKiooIiM7RixGLkYsRi9GLEYsKiZGN0YsRi9GLEY8KiZGQkYsRjRGLEY8RkJGLEYsLCZGJ0YsRixGPEYsRiwqKCIjNUYsRi5GLC1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMsJComIiIlRixGLkYsRjxGLEYs</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ge[2]:=diff(u[2](x,t),t)=diff(u[2](x,t),x$2)+diff(u[1](x,t),x)+4*(u[1](x,t)-1)+x^2-2*t-10*t*exp(-4*x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2dlRzYiNiMiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2JEkieEdGJUkidEdGJUYyLDAtRio2JEYtLUkiJEdGKzYkRjFGJyIiIi1GKjYkLSZGLzYjRjlGMEYxRjkqJiIiJUY5RjxGOUY5RkAhIiIqJClGMUYnRjlGOSomRidGOUYyRjlGQSooIiM1RjlGMkY5LUkkZXhwRzYkRitJKF9zeXNsaWJHRiU2IywkKiZGQEY5RjFGOUZBRjlGQQ==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIjNiRJInhHRipJInRHRipGLywwLUYkNiQtRiQ2JEYnRi5GLiIiIi1GJDYkLSZGKTYjRjVGLUYuRjUqJiIiJUY1RjhGNUY1RjwhIiIqJClGLkYsRjVGNSomRixGNUYvRjVGPSooIiM1RjVGL0Y1LUkkZXhwRzYkRiVJKF9zeXNsaWJHRio2IywkKiZGPEY1Ri5GNUY9RjVGPQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1[1]:=u[1](x,t)-1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJGJjMUc2IjYjIiIiLCYtJkkidUdGJUYmNiRJInhHRiVJInRHRiVGJ0YnISIi">LCYtJkkidUc2IjYjIiIiNiRJInhHRiZJInRHRiZGKEYoISIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1[2]:=u[2](x,t)-1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJGJjMUc2IjYjIiIjLCYtJkkidUdGJUYmNiRJInhHRiVJInRHRiUiIiJGLyEiIg==">LCYtJkkidUc2IjYjIiIjNiRJInhHRiZJInRHRiYiIiJGLCEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2[1]:=3*u[1](x,t)+diff(u[1](x,t),x)-3;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJGJjMkc2IjYjIiIiLCgqJiIiJEYnLSZJInVHRiVGJjYkSSJ4R0YlSSJ0R0YlRidGJy1JJWRpZmZHJSpwcm90ZWN0ZWRHNiRGK0YvRidGKiEiIg==">LCgqJiIiJCIiIi0mSSJ1RzYiNiNGJTYkSSJ4R0YpSSJ0R0YpRiVGJS1JJWRpZmZHJSpwcm90ZWN0ZWRHNiRGJkYsRiVGJCEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2[2]:=5*diff(u[2](x,t),x)-evalf(exp(4))*(u[1](x,t)-1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJGJjMkc2IjYjIiIjLCgqJiIiJiIiIi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUdGJUYmNiRJInhHRiVJInRHRiVGNEYrRisqJiQiKy5dIilmYSEiKUYrLSZGMjYjRitGM0YrISIiRjdGKw==">LCgqJiIiJiIiIi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIjNiRJInhHRi1JInRHRi1GMUYlRiUqJiQiKy5dIilmYSEiKUYlLSZGLDYjRiVGMEYlISIiRjRGJQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">IC[1]:=u[1](x,0)=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0lDRzYiNiMiIiIvLSZJInVHRiVGJjYkSSJ4R0YlIiIhRic=">Ly0mSSJ1RzYiNiMiIiI2JEkieEdGJiIiIUYo</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">IC[2]:=u[2](x,0)=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0lDRzYiNiMiIiMvLSZJInVHRiVGJjYkSSJ4R0YlIiIhIiIi">Ly0mSSJ1RzYiNiMiIiM2JEkieEdGJiIiISIiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">NN:=2;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjTk5HNiIiIiM=">IiIj</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">N:=10;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTkc2IiIjNQ==">IiM1</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">L:=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTEc2IiIiIg==">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to NN do </Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxf[i]:=1/2*(-u[2,i](t)-3*u[0,i](t)+4*u[1,i](t))/h;</Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxb[i]:=1/2*(u[N-1,i](t)+3*u[N+1,i](t)-4*u[N,i](t))/h;</Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydx[i]:=1/2/h*(u[m+1,i](t)-u[m-1,i](t));</Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">d2ydx2[i]:=1/h^2*(u[m-1,i](t)-2*u[m,i](t)+u[m+1,i](t));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJmR5ZHhmRzYiNiMiIiIsJCooI0YnIiIjRicsKC0mSSJ1R0YlNiRGK0YnNiNJInRHRiUhIiIqJiIiJEYnLSZGLzYkIiIhRidGMUYnRjMqJiIiJUYnLSZGLzYkRidGJ0YxRidGJ0YnSSJoR0YlRjNGJw==">LCQqKCMiIiIiIiNGJSwoLSZJInVHNiI2JEYmRiU2I0kidEdGKyEiIiomIiIkRiUtJkYqNiQiIiFGJUYtRiVGLyomIiIlRiUtJkYqNiRGJUYlRi1GJUYlRiVJImhHRitGL0Yl</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJmR5ZHhiRzYiNiMiIiIsJCooI0YnIiIjRicsKC0mSSJ1R0YlNiQiIipGJzYjSSJ0R0YlRicqJiIiJEYnLSZGLzYkIiM2RidGMkYnRicqJiIiJUYnLSZGLzYkIiM1RidGMkYnISIiRidJImhHRiVGQEYn">LCQqKCMiIiIiIiNGJSwoLSZJInVHNiI2JCIiKkYlNiNJInRHRitGJSomIiIkRiUtJkYqNiQiIzZGJUYuRiVGJSomIiIlRiUtJkYqNiQiIzVGJUYuRiUhIiJGJUkiaEdGK0Y8RiU=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJWR5ZHhHNiI2IyIiIiwkKigjRiciIiNGJ0kiaEdGJSEiIiwmLSZJInVHRiU2JCwmSSJtR0YlRidGJ0YnRic2I0kidEdGJUYnLSZGMTYkLCZGNEYnRidGLUYnRjVGLUYnRic=">LCQqKCMiIiIiIiNGJUkiaEc2IiEiIiwmLSZJInVHRig2JCwmSSJtR0YoRiVGJUYlRiU2I0kidEdGKEYlLSZGLTYkLCZGMEYlRiVGKUYlRjFGKUYlRiU=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJ2QyeWR4Mkc2IjYjIiIiKiYpSSJoR0YlIiIjISIiLCgtJkkidUdGJTYkLCZJIm1HRiVGJ0YnRixGJzYjSSJ0R0YlRicqJkYrRictJkYwNiRGM0YnRjRGJ0YsLSZGMDYkLCZGM0YnRidGJ0YnRjRGJ0Yn">KiYpSSJoRzYiIiIjISIiLCgtJkkidUdGJTYkLCZJIm1HRiUiIiJGL0YnRi82I0kidEdGJUYvKiZGJkYvLSZGKzYkRi5GL0YwRi9GJy0mRis2JCwmRi5GL0YvRi9GL0YwRi9GLw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJmR5ZHhmRzYiNiMiIiMsJCooIyIiIkYnRissKC0mSSJ1R0YlNiRGJ0YnNiNJInRHRiUhIiIqJiIiJEYrLSZGLzYkIiIhRidGMUYrRjMqJiIiJUYrLSZGLzYkRitGJ0YxRitGK0YrSSJoR0YlRjNGKw==">LCQqKCMiIiIiIiNGJSwoLSZJInVHNiI2JEYmRiY2I0kidEdGKyEiIiomIiIkRiUtJkYqNiQiIiFGJkYtRiVGLyomIiIlRiUtJkYqNiRGJUYmRi1GJUYlRiVJImhHRitGL0Yl</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJmR5ZHhiRzYiNiMiIiMsJCooIyIiIkYnRissKC0mSSJ1R0YlNiQiIipGJzYjSSJ0R0YlRisqJiIiJEYrLSZGLzYkIiM2RidGMkYrRisqJiIiJUYrLSZGLzYkIiM1RidGMkYrISIiRitJImhHRiVGQEYr">LCQqKCMiIiIiIiNGJSwoLSZJInVHNiI2JCIiKkYmNiNJInRHRitGJSomIiIkRiUtJkYqNiQiIzZGJkYuRiVGJSomIiIlRiUtJkYqNiQiIzVGJkYuRiUhIiJGJUkiaEdGK0Y8RiU=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJWR5ZHhHNiI2IyIiIywkKigjIiIiRidGK0kiaEdGJSEiIiwmLSZJInVHRiU2JCwmSSJtR0YlRitGK0YrRic2I0kidEdGJUYrLSZGMTYkLCZGNEYrRitGLUYnRjVGLUYrRis=">LCQqKCMiIiIiIiNGJUkiaEc2IiEiIiwmLSZJInVHRig2JCwmSSJtR0YoRiVGJUYlRiY2I0kidEdGKEYlLSZGLTYkLCZGMEYlRiVGKUYmRjFGKUYlRiU=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJ2QyeWR4Mkc2IjYjIiIjKiYpSSJoR0YlRichIiIsKC0mSSJ1R0YlNiQsJkkibUdGJSIiIkYzRitGJzYjSSJ0R0YlRjMqJkYnRjMtJkYvNiRGMkYnRjRGM0YrLSZGLzYkLCZGMkYzRjNGM0YnRjRGM0Yz">KiYpSSJoRzYiIiIjISIiLCgtJkkidUdGJTYkLCZJIm1HRiUiIiJGL0YnRiY2I0kidEdGJUYvKiZGJkYvLSZGKzYkRi5GJkYwRi9GJy0mRis2JCwmRi5GL0YvRi9GJkYwRi9GLw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L16" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to NN do bc1[i]:=subs(diff(u[1](x,t),x)=dydxf[1],diff(u[2](x,t),x)=dydxf[2],u[1](x,t)=u[0,1](t),u[2](x,t)=u[0,2](t),x=0,bc1[i]);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJGJjMUc2IjYjIiIiLCYtJkkidUdGJTYkIiIhRic2I0kidEdGJUYnRichIiI=">LCYtJkkidUc2IjYkIiIhIiIiNiNJInRHRiZGKUYpISIi</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJGJjMUc2IjYjIiIjLCYtJkkidUdGJTYkIiIhRic2I0kidEdGJSIiIkYwISIi">LCYtJkkidUc2IjYkIiIhIiIjNiNJInRHRiYiIiJGLCEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to NN do bc2[i]:=subs(diff(u[1](x,t),x)=dydxb[1],diff(u[2](x,t),x)=dydxb[2],u[1](x,t)=u[N+1,1](t),u[2](x,t)=u[N+1,2](t),x=L,bc2[i]);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJGJjMkc2IjYjIiIiLCgqJiIiJEYnLSZJInVHRiU2JCIjNkYnNiNJInRHRiVGJ0YnKigjRiciIiNGJywoLSZGLTYkIiIqRidGMEYnRilGJyomIiIlRictJkYtNiQiIzVGJ0YwRichIiJGJ0kiaEdGJUZARidGKkZA">LCgqJiIiJCIiIi0mSSJ1RzYiNiQiIzZGJTYjSSJ0R0YpRiVGJSooI0YlIiIjRiUsKC0mRig2JCIiKkYlRixGJUYjRiUqJiIiJUYlLSZGKDYkIiM1RiVGLEYlISIiRiVJImhHRilGPEYlRiRGPA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJGJjMkc2IjYjIiIjLCgqKCMiIiZGJyIiIiwoLSZJInVHRiU2JCIiKkYnNiNJInRHRiVGLComIiIkRiwtJkYwNiQiIzZGJ0YzRixGLComIiIlRiwtJkYwNiQiIzVGJ0YzRiwhIiJGLEkiaEdGJUZBRiwqJiQiKy5dIilmYSEiKUYsLSZGMDYkRjpGLEYzRixGQUZERiw=">LCgqKCMiIiYiIiMiIiIsKC0mSSJ1RzYiNiQiIipGJjYjSSJ0R0YsRicqJiIiJEYnLSZGKzYkIiM2RiZGL0YnRicqJiIiJUYnLSZGKzYkIiM1RiZGL0YnISIiRidJImhHRixGPUYnKiYkIisuXSIpZmEhIilGJy0mRis2JEY2RidGL0YnRj1GQEYn</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L18" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to NN do eq[0,i]:=bc1[i];eq[N+1,i]:=bc2[i];od; </Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiEiIiIsJi0mSSJ1R0YlRiY2I0kidEdGJUYoRighIiI=">LCYtJkkidUc2IjYkIiIhIiIiNiNJInRHRiZGKUYpISIi</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIzYiIiIsKComIiIkRigtJkkidUdGJUYmNiNJInRHRiVGKEYoKigjRigiIiNGKCwoLSZGLjYkIiIqRihGL0YoRipGKComIiIlRigtJkYuNiQiIzVGKEYvRighIiJGKEkiaEdGJUY/RihGK0Y/">LCgqJiIiJCIiIi0mSSJ1RzYiNiQiIzZGJTYjSSJ0R0YpRiVGJSooI0YlIiIjRiUsKC0mRig2JCIiKkYlRixGJUYjRiUqJiIiJUYlLSZGKDYkIiM1RiVGLEYlISIiRiVJImhHRilGPEYlRiRGPA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiEiIiMsJi0mSSJ1R0YlRiY2I0kidEdGJSIiIkYvISIi">LCYtJkkidUc2IjYkIiIhIiIjNiNJInRHRiYiIiJGLCEiIg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIzYiIiMsKCooIyIiJkYoIiIiLCgtJkkidUdGJTYkIiIqRig2I0kidEdGJUYtKiYiIiRGLS0mRjFGJkY0Ri1GLSomIiIlRi0tJkYxNiQiIzVGKEY0Ri0hIiJGLUkiaEdGJUZARi0qJiQiKy5dIilmYSEiKUYtLSZGMTYkRidGLUY0Ri1GQEZDRi0=">LCgqKCMiIiYiIiMiIiIsKC0mSSJ1RzYiNiQiIipGJjYjSSJ0R0YsRicqJiIiJEYnLSZGKzYkIiM2RiZGL0YnRicqJiIiJUYnLSZGKzYkIiM1RiZGL0YnISIiRidJImhHRixGPUYnKiYkIisuXSIpZmEhIilGJy0mRis2JEY2RidGL0YnRj1GQEYn</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i,1]:=diff(u[i,1](t),t)= subs(diff(u[1](x,t),x$2) = subs(m=i,d2ydx2[1]),diff(u[2](x,t),x$2) = subs(m=i,d2ydx2[2]),diff(u[1](x,t),x) = subs(m=i,dydx[1]),diff(u[2](x,t),x) = subs(m=i,dydx[2]),u[1](x,t)=u[i,1](t),u[2](x,t)=u[i,2](t),x=i*h,rhs(ge[1]));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiJGJy8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkLSZJInVHRiVGJjYjSSJ0R0YlRjEsKioqI0YnIiIlRicpSSJoR0YlIiIjISIiLCYtJkYvNiRGOEY4RjBGJy0mRi82JCIiIUY4RjBGOUYnLCYtJkYvNiRGOEYnRjBGJy0mRi82JEZBRidGMEY5RidGJyooLCYtJkYvNiRGJ0Y4RjBGJ0YnRjlGJ0Y2RjksKEZGRicqJkY4RidGLUYnRjlGQ0YnRidGJyomLCoqKCIjO0YnRjdGJ0YxRidGJyomRjhGJ0YxRidGOSomRlNGJ0ZLRidGOUZTRidGJywmRi1GJ0YnRjlGJ0YnKigiIzVGJ0Y3RictSSRleHBHNiRGK0koX3N5c2xpYkdGJTYjLCQqJkY1RidGN0YnRjlGJ0Yn">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIiRiw2I0kidEdGKkYuLCoqKiNGLCIiJUYsKUkiaEdGKiIiIyEiIiwmLSZGKTYkRjVGNUYtRiwtJkYpNiQiIiFGNUYtRjZGLCwmLSZGKTYkRjVGLEYtRiwtJkYpNiRGPkYsRi1GNkYsRiwqKCwmLSZGKTYkRixGNUYtRixGLEY2RixGM0Y2LChGQ0YsKiZGNUYsRidGLEY2RkBGLEYsRiwqJiwqKigiIztGLEY0RixGLkYsRiwqJkY1RixGLkYsRjYqJkZQRixGSEYsRjZGUEYsRiwsJkYnRixGLEY2RixGLCooIiM1RixGNEYsLUkkZXhwRzYkRiVJKF9zeXNsaWJHRio2IywkKiZGMkYsRjRGLEY2RixGLA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKiNGKCIiJUYoKUkiaEdGJUYnISIiLCYtJkYwNiQiIiRGJ0YxRigtJkYwNiRGKEYnRjFGOUYoLCYtJkYwNiRGPkYoRjFGKC0mRjA2JEYoRihGMUY5RihGKCooLCYtJkYwNiRGJ0YnRjFGKEYoRjlGKEY3RjksKEZGRigqJkYnRihGLkYoRjlGQ0YoRihGKComLCoqKCIjS0YoRjhGKEYyRihGKComRidGKEYyRihGOSomIiM7RihGS0YoRjlGVkYoRigsJkYuRihGKEY5RihGKCooIiM/RihGOEYoLUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IywkKiYiIilGKEY4RihGOUYoRig=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIjIiIiNiNJInRHRipGLywqKiojRi0iIiVGLSlJImhHRipGLCEiIiwmLSZGKTYkIiIkRixGLkYtLSZGKTYkRi1GLEYuRjZGLSwmLSZGKTYkRjtGLUYuRi0tJkYpNiRGLUYtRi5GNkYtRi0qKCwmLSZGKTYkRixGLEYuRi1GLUY2Ri1GNEY2LChGQ0YtKiZGLEYtRidGLUY2RkBGLUYtRi0qJiwqKigiI0tGLUY1Ri1GL0YtRi0qJkYsRi1GL0YtRjYqJiIjO0YtRkhGLUY2RlNGLUYtLCZGJ0YtRi1GNkYtRi0qKCIjP0YtRjVGLS1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMsJComIiIpRi1GNUYtRjZGLUYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiQiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKiNGKCIiJUYoKUkiaEdGJSIiIyEiIiwmLSZGMDYkRjZGOUYxRigtJkYwNiRGOUY5RjFGOkYoLCYtJkYwNiRGNkYoRjFGKC0mRjA2JEY5RihGMUY6RihGKCooLCYtJkYwNiRGJ0Y5RjFGKEYoRjpGKEY3RjosKEZGRigqJkY5RihGLkYoRjpGQ0YoRihGKComLCoqKCIjW0YoRjhGKEYyRihGKComRjlGKEYyRihGOiomIiM7RihGS0YoRjpGVkYoRigsJkYuRihGKEY6RihGKCooIiNJRihGOEYoLUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IywkKiYiIzdGKEY4RihGOkYoRig=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIkIiIiNiNJInRHRipGLywqKiojRi0iIiVGLSlJImhHRioiIiMhIiIsJi0mRik2JEYzRjZGLkYtLSZGKTYkRjZGNkYuRjdGLSwmLSZGKTYkRjNGLUYuRi0tJkYpNiRGNkYtRi5GN0YtRi0qKCwmLSZGKTYkRixGNkYuRi1GLUY3Ri1GNEY3LChGQ0YtKiZGNkYtRidGLUY3RkBGLUYtRi0qJiwqKigiI1tGLUY1Ri1GL0YtRi0qJkY2Ri1GL0YtRjcqJiIjO0YtRkhGLUY3RlNGLUYtLCZGJ0YtRi1GN0YtRi0qKCIjSUYtRjVGLS1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMsJComIiM3Ri1GNUYtRjdGLUYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiUiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKiNGKEYnRigpSSJoR0YlIiIjISIiLCYtJkYwNiQiIiZGOEYxRigtJkYwNiQiIiRGOEYxRjlGKCwmLSZGMDYkRj5GKEYxRigtJkYwNiRGQkYoRjFGOUYoRigqKCwmLSZGMDYkRidGOEYxRihGKEY5RihGNkY5LChGR0YoKiZGOEYoRi5GKEY5RkRGKEYoRigqJiwqKigiI2tGKEY3RihGMkYoRigqJkY4RihGMkYoRjkqJiIjO0YoRkxGKEY5RldGKEYoLCZGLkYoRihGOUYoRigqKCIjU0YoRjdGKC1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMsJComRldGKEY3RihGOUYoRig=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIlIiIiNiNJInRHRipGLywqKiojRi1GLEYtKUkiaEdGKiIiIyEiIiwmLSZGKTYkIiImRjVGLkYtLSZGKTYkIiIkRjVGLkY2Ri0sJi0mRik2JEY7Ri1GLkYtLSZGKTYkRj9GLUYuRjZGLUYtKigsJi0mRik2JEYsRjVGLkYtRi1GNkYtRjNGNiwoRkRGLSomRjVGLUYnRi1GNkZBRi1GLUYtKiYsKiooIiNrRi1GNEYtRi9GLUYtKiZGNUYtRi9GLUY2KiYiIztGLUZJRi1GNkZURi1GLSwmRidGLUYtRjZGLUYtKigiI1NGLUY0Ri0tSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjLCQqJkZURi1GNEYtRjZGLUYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiYiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKiNGKCIiJUYoKUkiaEdGJSIiIyEiIiwmLSZGMDYkIiInRjlGMUYoLSZGMDYkRjZGOUYxRjpGKCwmLSZGMDYkRj9GKEYxRigtJkYwNiRGNkYoRjFGOkYoRigqKCwmLSZGMDYkRidGOUYxRihGKEY6RihGN0Y6LChGR0YoKiZGOUYoRi5GKEY6RkRGKEYoRigqJiwqKigiIyEpRihGOEYoRjJGKEYoKiZGOUYoRjJGKEY6KiYiIztGKEZMRihGOkZXRihGKCwmRi5GKEYoRjpGKEYoKigiI11GKEY4RigtSSRleHBHNiRGLEkoX3N5c2xpYkdGJTYjLCQqJiIjP0YoRjhGKEY6RihGKA==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiImIiIiNiNJInRHRipGLywqKiojRi0iIiVGLSlJImhHRioiIiMhIiIsJi0mRik2JCIiJ0Y2Ri5GLS0mRik2JEYzRjZGLkY3Ri0sJi0mRik2JEY8Ri1GLkYtLSZGKTYkRjNGLUYuRjdGLUYtKigsJi0mRik2JEYsRjZGLkYtRi1GN0YtRjRGNywoRkRGLSomRjZGLUYnRi1GN0ZBRi1GLUYtKiYsKiooIiMhKUYtRjVGLUYvRi1GLSomRjZGLUYvRi1GNyomIiM7Ri1GSUYtRjdGVEYtRi0sJkYnRi1GLUY3Ri1GLSooIiNdRi1GNUYtLUkkZXhwRzYkRiVJKF9zeXNsaWJHRio2IywkKiYiIz9GLUY1Ri1GN0YtRi0=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiciIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKiNGKCIiJUYoKUkiaEdGJSIiIyEiIiwmLSZGMDYkIiIoRjlGMUYoLSZGMDYkIiImRjlGMUY6RigsJi0mRjA2JEY/RihGMUYoLSZGMDYkRkNGKEYxRjpGKEYoKigsJi0mRjA2JEYnRjlGMUYoRihGOkYoRjdGOiwoRkhGKComRjlGKEYuRihGOkZFRihGKEYoKiYsKiooIiMnKkYoRjhGKEYyRihGKComRjlGKEYyRihGOiomIiM7RihGTUYoRjpGWEYoRigsJkYuRihGKEY6RihGKCooIiNnRihGOEYoLUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IywkKiYiI0NGKEY4RihGOkYoRig=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiInIiIiNiNJInRHRipGLywqKiojRi0iIiVGLSlJImhHRioiIiMhIiIsJi0mRik2JCIiKEY2Ri5GLS0mRik2JCIiJkY2Ri5GN0YtLCYtJkYpNiRGPEYtRi5GLS0mRik2JEZARi1GLkY3Ri1GLSooLCYtJkYpNiRGLEY2Ri5GLUYtRjdGLUY0RjcsKEZFRi0qJkY2Ri1GJ0YtRjdGQkYtRi1GLSomLCoqKCIjJypGLUY1Ri1GL0YtRi0qJkY2Ri1GL0YtRjcqJiIjO0YtRkpGLUY3RlVGLUYtLCZGJ0YtRi1GN0YtRi0qKCIjZ0YtRjVGLS1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMsJComIiNDRi1GNUYtRjdGLUYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIigiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKiNGKCIiJUYoKUkiaEdGJSIiIyEiIiwmLSZGMDYkIiIpRjlGMUYoLSZGMDYkIiInRjlGMUY6RigsJi0mRjA2JEY/RihGMUYoLSZGMDYkRkNGKEYxRjpGKEYoKigsJi0mRjA2JEYnRjlGMUYoRihGOkYoRjdGOiwoRkhGKComRjlGKEYuRihGOkZFRihGKEYoKiYsKiooIiQ3IkYoRjhGKEYyRihGKComRjlGKEYyRihGOiomIiM7RihGTUYoRjpGWEYoRigsJkYuRihGKEY6RihGKCooIiNxRihGOEYoLUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IywkKiYiI0dGKEY4RihGOkYoRig=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIoIiIiNiNJInRHRipGLywqKiojRi0iIiVGLSlJImhHRioiIiMhIiIsJi0mRik2JCIiKUY2Ri5GLS0mRik2JCIiJ0Y2Ri5GN0YtLCYtJkYpNiRGPEYtRi5GLS0mRik2JEZARi1GLkY3Ri1GLSooLCYtJkYpNiRGLEY2Ri5GLUYtRjdGLUY0RjcsKEZFRi0qJkY2Ri1GJ0YtRjdGQkYtRi1GLSomLCoqKCIkNyJGLUY1Ri1GL0YtRi0qJkY2Ri1GL0YtRjcqJiIjO0YtRkpGLUY3RlVGLUYtLCZGJ0YtRi1GN0YtRi0qKCIjcUYtRjVGLS1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMsJComIiNHRi1GNUYtRjdGLUYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIikiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKiNGKCIiJUYoKUkiaEdGJSIiIyEiIiwmLSZGMDYkIiIqRjlGMUYoLSZGMDYkIiIoRjlGMUY6RigsJi0mRjA2JEY/RihGMUYoLSZGMDYkRkNGKEYxRjpGKEYoKigsJi0mRjA2JEYnRjlGMUYoRihGOkYoRjdGOiwoRkhGKComRjlGKEYuRihGOkZFRihGKEYoKiYsKiooIiRHIkYoRjhGKEYyRihGKComRjlGKEYyRihGOiomIiM7RihGTUYoRjpGWEYoRigsJkYuRihGKEY6RihGKCooIiMhKUYoRjhGKC1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMsJComIiNLRihGOEYoRjpGKEYo">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIpIiIiNiNJInRHRipGLywqKiojRi0iIiVGLSlJImhHRioiIiMhIiIsJi0mRik2JCIiKkY2Ri5GLS0mRik2JCIiKEY2Ri5GN0YtLCYtJkYpNiRGPEYtRi5GLS0mRik2JEZARi1GLkY3Ri1GLSooLCYtJkYpNiRGLEY2Ri5GLUYtRjdGLUY0RjcsKEZFRi0qJkY2Ri1GJ0YtRjdGQkYtRi1GLSomLCoqKCIkRyJGLUY1Ri1GL0YtRi0qJkY2Ri1GL0YtRjcqJiIjO0YtRkpGLUY3RlVGLUYtLCZGJ0YtRi1GN0YtRi0qKCIjISlGLUY1Ri0tSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjLCQqJiIjS0YtRjVGLUY3Ri1GLQ==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIioiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKiNGKCIiJUYoKUkiaEdGJSIiIyEiIiwmLSZGMDYkIiM1RjlGMUYoLSZGMDYkIiIpRjlGMUY6RigsJi0mRjA2JEY/RihGMUYoLSZGMDYkRkNGKEYxRjpGKEYoKigsJi0mRjA2JEYnRjlGMUYoRihGOkYoRjdGOiwoRkhGKComRjlGKEYuRihGOkZFRihGKEYoKiYsKiooIiRXIkYoRjhGKEYyRihGKComRjlGKEYyRihGOiomIiM7RihGTUYoRjpGWEYoRigsJkYuRihGKEY6RihGKCooIiMhKkYoRjhGKC1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMsJComIiNPRihGOEYoRjpGKEYo">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIqIiIiNiNJInRHRipGLywqKiojRi0iIiVGLSlJImhHRioiIiMhIiIsJi0mRik2JCIjNUY2Ri5GLS0mRik2JCIiKUY2Ri5GN0YtLCYtJkYpNiRGPEYtRi5GLS0mRik2JEZARi1GLkY3Ri1GLSooLCYtJkYpNiRGLEY2Ri5GLUYtRjdGLUY0RjcsKEZFRi0qJkY2Ri1GJ0YtRjdGQkYtRi1GLSomLCoqKCIkVyJGLUY1Ri1GL0YtRi0qJkY2Ri1GL0YtRjcqJiIjO0YtRkpGLUY3RlVGLUYtLCZGJ0YtRi1GN0YtRi0qKCIjISpGLUY1Ri0tSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjLCQqJiIjT0YtRjVGLUY3Ri1GLQ==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIzUiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKiNGKCIiJUYoKUkiaEdGJSIiIyEiIiwmLSZGMDYkIiM2RjlGMUYoLSZGMDYkIiIqRjlGMUY6RigsJi0mRjA2JEY/RihGMUYoLSZGMDYkRkNGKEYxRjpGKEYoKigsJi0mRjA2JEYnRjlGMUYoRihGOkYoRjdGOiwoRkhGKComRjlGKEYuRihGOkZFRihGKEYoKiYsKiooIiRnIkYoRjhGKEYyRihGKComRjlGKEYyRihGOiomIiM7RihGTUYoRjpGWEYoRigsJkYuRihGKEY6RihGKCooIiQrIkYoRjhGKC1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMsJComIiNTRihGOEYoRjpGKEYo">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiM1IiIiNiNJInRHRipGLywqKiojRi0iIiVGLSlJImhHRioiIiMhIiIsJi0mRik2JCIjNkY2Ri5GLS0mRik2JCIiKkY2Ri5GN0YtLCYtJkYpNiRGPEYtRi5GLS0mRik2JEZARi1GLkY3Ri1GLSooLCYtJkYpNiRGLEY2Ri5GLUYtRjdGLUY0RjcsKEZFRi0qJkY2Ri1GJ0YtRjdGQkYtRi1GLSomLCoqKCIkZyJGLUY1Ri1GL0YtRi0qJkY2Ri1GL0YtRjcqJiIjO0YtRkpGLUY3RlVGLUYtLCZGJ0YtRi1GN0YtRi0qKCIkKyJGLUY1Ri0tSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjLCQqJiIjU0YtRjVGLUY3Ri1GLQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i,2]:=diff(u[i,2](t),t)= subs(diff(u[1](x,t),x$2) = subs(m=i,d2ydx2[1]),diff(u[2](x,t),x$2) = subs(m=i,d2ydx2[2]),diff(u[1](x,t),x) = subs(m=i,dydx[1]),diff(u[2](x,t),x) = subs(m=i,dydx[2]),u[1](x,t)=u[i,1](t),u[2](x,t)=u[i,2](t),x=i*h,rhs(ge[2]));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiIiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDAqJilJImhHRiVGKCEiIiwoLSZGMDYkIiIhRihGMUYnKiZGKEYnRi5GJ0Y3LSZGMDYkRihGKEYxRidGJ0YnKigjRidGKEYnRjZGNywmLSZGMDYkRihGJ0YxRictJkYwNiRGPEYnRjFGN0YnRicqJiIiJUYnLSZGMDYkRidGJ0YxRidGJ0ZLRjcqJEY1RidGJyomRihGJ0YyRidGNyooIiM1RidGMkYnLUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IywkKiZGS0YnRjZGJ0Y3RidGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIiIiIjNiNJInRHRipGLywwKiYpSSJoR0YqRi0hIiIsKC0mRik2JCIiIUYtRi5GLComRi1GLEYnRixGNC0mRik2JEYtRi1GLkYsRixGLCooI0YsRi1GLEYzRjQsJi0mRik2JEYtRixGLkYsLSZGKTYkRjlGLEYuRjRGLEYsKiYiIiVGLC0mRik2JEYsRixGLkYsRixGSEY0KiRGMkYsRiwqJkYtRixGL0YsRjQqKCIjNUYsRi9GLC1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMsJComRkhGLEYzRixGNEYsRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiNGJy8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkLSZJInVHRiVGJjYjSSJ0R0YlRjEsMComKUkiaEdGJUYnISIiLCgtJkYvNiQiIiJGJ0YwRjsqJkYnRjtGLUY7RjYtJkYvNiQiIiRGJ0YwRjtGO0Y7KigjRjtGJ0Y7RjVGNiwmLSZGLzYkRkBGO0YwRjstJkYvNiRGO0Y7RjBGNkY7RjsqJiIiJUY7LSZGLzYkRidGO0YwRjtGO0ZLRjYqJkZLRjtGNEY7RjsqJkYnRjtGMUY7RjYqKCIjNUY7RjFGOy1JJGV4cEc2JEYrSShfc3lzbGliR0YlNiMsJComIiIpRjtGNUY7RjZGO0Y2">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIjRiw2I0kidEdGKkYuLDAqJilJImhHRipGLCEiIiwoLSZGKTYkIiIiRixGLUY4KiZGLEY4RidGOEYzLSZGKTYkIiIkRixGLUY4RjhGOCooI0Y4RixGOEYyRjMsJi0mRik2JEY9RjhGLUY4LSZGKTYkRjhGOEYtRjNGOEY4KiYiIiVGOC0mRik2JEYsRjhGLUY4RjhGSEYzKiZGSEY4RjFGOEY4KiZGLEY4Ri5GOEYzKigiIzVGOEYuRjgtSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjLCQqJiIiKUY4RjJGOEYzRjhGMw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiQiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDAqJilJImhHRiVGKCEiIiwoLSZGMDYkRihGKEYxIiIiKiZGKEY8Ri5GPEY3LSZGMDYkIiIlRihGMUY8RjxGPCooI0Y8RihGPEY2RjcsJi0mRjA2JEZBRjxGMUY8LSZGMDYkRihGPEYxRjdGPEY8KiZGQUY8LSZGMDYkRidGPEYxRjxGPEZBRjcqJiIiKkY8RjVGPEY8KiZGKEY8RjJGPEY3KigiIzVGPEYyRjwtSSRleHBHNiRGLEkoX3N5c2xpYkdGJTYjLCQqJiIjN0Y8RjZGPEY3RjxGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIkIiIjNiNJInRHRipGLywwKiYpSSJoR0YqRi0hIiIsKC0mRik2JEYtRi1GLiIiIiomRi1GOUYnRjlGNC0mRik2JCIiJUYtRi5GOUY5RjkqKCNGOUYtRjlGM0Y0LCYtJkYpNiRGPkY5Ri5GOS0mRik2JEYtRjlGLkY0RjlGOSomRj5GOS0mRik2JEYsRjlGLkY5RjlGPkY0KiYiIipGOUYyRjlGOSomRi1GOUYvRjlGNCooIiM1RjlGL0Y5LUkkZXhwRzYkRiVJKF9zeXNsaWJHRio2IywkKiYiIzdGOUYzRjlGNEY5RjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiUiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDAqJilJImhHRiVGKCEiIiwoLSZGMDYkIiIkRihGMSIiIiomRihGPUYuRj1GNy0mRjA2JCIiJkYoRjFGPUY9Rj0qKCNGPUYoRj1GNkY3LCYtJkYwNiRGQkY9RjFGPS0mRjA2JEY8Rj1GMUY3Rj1GPSomRidGPS0mRjA2JEYnRj1GMUY9Rj1GJ0Y3KiYiIztGPUY1Rj1GPSomRihGPUYyRj1GNyooIiM1Rj1GMkY9LUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IywkKiZGUUY9RjZGPUY3Rj1GNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIlIiIjNiNJInRHRipGLywwKiYpSSJoR0YqRi0hIiIsKC0mRik2JCIiJEYtRi4iIiIqJkYtRjpGJ0Y6RjQtJkYpNiQiIiZGLUYuRjpGOkY6KigjRjpGLUY6RjNGNCwmLSZGKTYkRj9GOkYuRjotJkYpNiRGOUY6Ri5GNEY6RjoqJkYsRjotJkYpNiRGLEY6Ri5GOkY6RixGNComIiM7RjpGMkY6RjoqJkYtRjpGL0Y6RjQqKCIjNUY6Ri9GOi1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMsJComRk5GOkYzRjpGNEY6RjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiYiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDAqJilJImhHRiVGKCEiIiwoLSZGMDYkIiIlRihGMSIiIiomRihGPUYuRj1GNy0mRjA2JCIiJ0YoRjFGPUY9Rj0qKCNGPUYoRj1GNkY3LCYtJkYwNiRGQkY9RjFGPS0mRjA2JEY8Rj1GMUY3Rj1GPSomRjxGPS0mRjA2JEYnRj1GMUY9Rj1GPEY3KiYiI0RGPUY1Rj1GPSomRihGPUYyRj1GNyooIiM1Rj1GMkY9LUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IywkKiYiIz9GPUY2Rj1GN0Y9Rjc=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiImIiIjNiNJInRHRipGLywwKiYpSSJoR0YqRi0hIiIsKC0mRik2JCIiJUYtRi4iIiIqJkYtRjpGJ0Y6RjQtJkYpNiQiIidGLUYuRjpGOkY6KigjRjpGLUY6RjNGNCwmLSZGKTYkRj9GOkYuRjotJkYpNiRGOUY6Ri5GNEY6RjoqJkY5RjotJkYpNiRGLEY6Ri5GOkY6RjlGNComIiNERjpGMkY6RjoqJkYtRjpGL0Y6RjQqKCIjNUY6Ri9GOi1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMsJComIiM/RjpGM0Y6RjRGOkY0</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiciIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDAqJilJImhHRiVGKCEiIiwoLSZGMDYkIiImRihGMSIiIiomRihGPUYuRj1GNy0mRjA2JCIiKEYoRjFGPUY9Rj0qKCNGPUYoRj1GNkY3LCYtJkYwNiRGQkY9RjFGPS0mRjA2JEY8Rj1GMUY3Rj1GPSomIiIlRj0tJkYwNiRGJ0Y9RjFGPUY9Rk1GNyomIiNPRj1GNUY9Rj0qJkYoRj1GMkY9RjcqKCIjNUY9RjJGPS1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMsJComIiNDRj1GNkY9RjdGPUY3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiInIiIjNiNJInRHRipGLywwKiYpSSJoR0YqRi0hIiIsKC0mRik2JCIiJkYtRi4iIiIqJkYtRjpGJ0Y6RjQtJkYpNiQiIihGLUYuRjpGOkY6KigjRjpGLUY6RjNGNCwmLSZGKTYkRj9GOkYuRjotJkYpNiRGOUY6Ri5GNEY6RjoqJiIiJUY6LSZGKTYkRixGOkYuRjpGOkZKRjQqJiIjT0Y6RjJGOkY6KiZGLUY6Ri9GOkY0KigiIzVGOkYvRjotSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjLCQqJiIjQ0Y6RjNGOkY0RjpGNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIigiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDAqJilJImhHRiVGKCEiIiwoLSZGMDYkIiInRihGMSIiIiomRihGPUYuRj1GNy0mRjA2JCIiKUYoRjFGPUY9Rj0qKCNGPUYoRj1GNkY3LCYtJkYwNiRGQkY9RjFGPS0mRjA2JEY8Rj1GMUY3Rj1GPSomIiIlRj0tJkYwNiRGJ0Y9RjFGPUY9Rk1GNyomIiNcRj1GNUY9Rj0qJkYoRj1GMkY9RjcqKCIjNUY9RjJGPS1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMsJComIiNHRj1GNkY9RjdGPUY3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIoIiIjNiNJInRHRipGLywwKiYpSSJoR0YqRi0hIiIsKC0mRik2JCIiJ0YtRi4iIiIqJkYtRjpGJ0Y6RjQtJkYpNiQiIilGLUYuRjpGOkY6KigjRjpGLUY6RjNGNCwmLSZGKTYkRj9GOkYuRjotJkYpNiRGOUY6Ri5GNEY6RjoqJiIiJUY6LSZGKTYkRixGOkYuRjpGOkZKRjQqJiIjXEY6RjJGOkY6KiZGLUY6Ri9GOkY0KigiIzVGOkYvRjotSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjLCQqJiIjR0Y6RjNGOkY0RjpGNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIikiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDAqJilJImhHRiVGKCEiIiwoLSZGMDYkIiIoRihGMSIiIiomRihGPUYuRj1GNy0mRjA2JCIiKkYoRjFGPUY9Rj0qKCNGPUYoRj1GNkY3LCYtJkYwNiRGQkY9RjFGPS0mRjA2JEY8Rj1GMUY3Rj1GPSomIiIlRj0tJkYwNiRGJ0Y9RjFGPUY9Rk1GNyomIiNrRj1GNUY9Rj0qJkYoRj1GMkY9RjcqKCIjNUY9RjJGPS1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMsJComIiNLRj1GNkY9RjdGPUY3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIpIiIjNiNJInRHRipGLywwKiYpSSJoR0YqRi0hIiIsKC0mRik2JCIiKEYtRi4iIiIqJkYtRjpGJ0Y6RjQtJkYpNiQiIipGLUYuRjpGOkY6KigjRjpGLUY6RjNGNCwmLSZGKTYkRj9GOkYuRjotJkYpNiRGOUY6Ri5GNEY6RjoqJiIiJUY6LSZGKTYkRixGOkYuRjpGOkZKRjQqJiIja0Y6RjJGOkY6KiZGLUY6Ri9GOkY0KigiIzVGOkYvRjotSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjLCQqJiIjS0Y6RjNGOkY0RjpGNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIioiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDAqJilJImhHRiVGKCEiIiwoLSZGMDYkIiIpRihGMSIiIiomRihGPUYuRj1GNy0mRjA2JCIjNUYoRjFGPUY9Rj0qKCNGPUYoRj1GNkY3LCYtJkYwNiRGQkY9RjFGPS0mRjA2JEY8Rj1GMUY3Rj1GPSomIiIlRj0tJkYwNiRGJ0Y9RjFGPUY9Rk1GNyomIiMiKUY9RjVGPUY9KiZGKEY9RjJGPUY3KihGQkY9RjJGPS1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMsJComIiNPRj1GNkY9RjdGPUY3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIqIiIjNiNJInRHRipGLywwKiYpSSJoR0YqRi0hIiIsKC0mRik2JCIiKUYtRi4iIiIqJkYtRjpGJ0Y6RjQtJkYpNiQiIzVGLUYuRjpGOkY6KigjRjpGLUY6RjNGNCwmLSZGKTYkRj9GOkYuRjotJkYpNiRGOUY6Ri5GNEY6RjoqJiIiJUY6LSZGKTYkRixGOkYuRjpGOkZKRjQqJiIjIilGOkYyRjpGOiomRi1GOkYvRjpGNCooRj9GOkYvRjotSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjLCQqJiIjT0Y6RjNGOkY0RjpGNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIzUiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDAqJilJImhHRiVGKCEiIiwoLSZGMDYkIiIqRihGMSIiIiomRihGPUYuRj1GNy0mRjA2JCIjNkYoRjFGPUY9Rj0qKCNGPUYoRj1GNkY3LCYtJkYwNiRGQkY9RjFGPS0mRjA2JEY8Rj1GMUY3Rj1GPSomIiIlRj0tJkYwNiRGJ0Y9RjFGPUY9Rk1GNyomIiQrIkY9RjVGPUY9KiZGKEY9RjJGPUY3KihGJ0Y9RjJGPS1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMsJComIiNTRj1GNkY9RjdGPUY3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiM1IiIjNiNJInRHRipGLywwKiYpSSJoR0YqRi0hIiIsKC0mRik2JCIiKkYtRi4iIiIqJkYtRjpGJ0Y6RjQtJkYpNiQiIzZGLUYuRjpGOkY6KigjRjpGLUY6RjNGNCwmLSZGKTYkRj9GOkYuRjotJkYpNiRGOUY6Ri5GNEY6RjoqJiIiJUY6LSZGKTYkRixGOkYuRjpGOkZKRjQqJiIkKyJGOkYyRjpGOiomRi1GOkYvRjpGNCooRixGOkYvRjotSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjLCQqJiIjU0Y6RjNGOkY0RjpGNA==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to NN do u[0,i](t):=(solve(eq[0,i],u[0,i](t)));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiQiIiEiIiI2I0kidEdGJkYp">IiIi</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiQiIiEiIiM2I0kidEdGJiIiIg==">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to NN do u[N+1,i](t):=(solve(eq[N+1,i],u[N+1,i](t)));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiQiIzYiIiI2I0kidEdGJiwkKigjRikiIiRGKSwoLSZGJTYkIiIqRilGKiEiIiomIiIlRiktJkYlNiQiIzVGKUYqRilGKSomIiInRilJImhHRiZGKUYpRiksJiomIiIjRilGPkYpRilGKUYpRjVGKQ==">LCQqKCMiIiIiIiRGJSwoLSZJInVHNiI2JCIiKkYlNiNJInRHRishIiIqJiIiJUYlLSZGKjYkIiM1RiVGLkYlRiUqJiIiJ0YlSSJoR0YrRiVGJUYlLCYqJiIiI0YlRjlGJUYlRiVGJUYwRiU=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiQiIzYiIiM2I0kidEdGJiwkKigkIitMTExMOCEjPSIiIiwyKigkIiorKysrJiIiIUYxLSZGJTYkIiIqRilGKkYxSSJoR0YmRjFGMSomJCIqKysrXSNGNkYxRjdGMUYxKigkIisrKysrP0Y2RjEtJkYlNiQiIzVGKUYqRjFGO0YxISIiKiYkIisrKysrNUY2RjFGQkYxRkYqKCQiK00kUSo+PUY2RjFGO0YxLSZGJTYkRjpGMUYqRjFGMSooJCIrT0x2enNGNkYxRjtGMS0mRiU2JEZFRjFGKkYxRkYqJiRGKUY2RjEpRjtGKUYxRjEqJiQiKy5dIilmYUY2RjFGO0YxRjFGMSwmKiZGV0YxRjtGMUYxJEYxRjZGMUZGRkY=">LCQqKCQiK0xMTEw4ISM9IiIiLDIqKCQiKisrKysmIiIhRictJkkidUc2IjYkIiIqIiIjNiNJInRHRjBGJ0kiaEdGMEYnRicqJiQiKisrK10jRixGJ0YtRidGJyooJCIrKysrKz9GLEYnLSZGLzYkIiM1RjNGNEYnRjZGJyEiIiomJCIrKysrKzVGLEYnRj1GJ0ZBKigkIitNJFEqPj1GLEYnRjZGJy0mRi82JEYyRidGNEYnRicqKCQiK09MdnpzRixGJ0Y2RictJkYvNiRGQEYnRjRGJ0ZBKiYkRjNGLEYnKUY2RjNGJ0YnKiYkIisuXSIpZmFGLEYnRjZGJ0YnRicsJiomRlJGJ0Y2RidGJyRGJ0YsRidGQUZB</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L23" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">h:=L/(N+1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiaEc2IiMiIiIiIzY=">IyIiIiIjNg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L24" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i,1]:=eval(eq[i,1]);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiJGJy8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkLSZJInVHRiVGJjYjSSJ0R0YlRjEsKiooIyIkQCIiIiVGJywmLSZGLzYkIiIjRjtGMEYnRichIiJGJywmLSZGLzYkRjtGJ0YwRidGJ0Y8RidGJyooRjVGJywmLSZGLzYkRidGO0YwRidGJ0Y8RicsKEYnRicqJkY7RidGLUYnRjxGPkYnRidGJyomLCgqJiMiIiciIzZGJ0YxRidGPComIiM7RidGQ0YnRjxGT0YnRicsJkYtRidGJ0Y8RidGJyomIyIjNUZNRictSSRleHBHNiRGK0koX3N5c2xpYkdGJTYjIyEiJUZNRidGJw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIiRiw2I0kidEdGKkYuLCoqKCMiJEAiIiIlRiwsJi0mRik2JCIiI0Y4Ri1GLEYsISIiRiwsJi0mRik2JEY4RixGLUYsRixGOUYsRiwqKEYyRiwsJi0mRik2JEYsRjhGLUYsRixGOUYsLChGLEYsKiZGOEYsRidGLEY5RjtGLEYsRiwqJiwoKiYjIiInIiM2RixGLkYsRjkqJiIjO0YsRkBGLEY5RkxGLEYsLCZGJ0YsRixGOUYsRiwqJiMiIzVGSkYsLUkkZXhwRzYkRiVJKF9zeXNsaWJHRio2IyMhIiVGSkYsRiw=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKCMiJEAiIiIlRigsJi0mRjA2JCIiJEYnRjFGKC0mRjA2JEYoRidGMSEiIkYoLCYtJkYwNiRGPEYoRjFGKC0mRjA2JEYoRihGMUZARihGKCooRjZGKCwmLSZGMDYkRidGJ0YxRihGKEZARigsKEZFRigqJkYnRihGLkYoRkBGQkYoRihGKComLCgqJiMiIzUiIzZGKEYyRihGKComIiM7RihGSkYoRkBGVkYoRigsJkYuRihGKEZARihGKComIyIjP0ZURigtSSRleHBHNiRGLEkoX3N5c2xpYkdGJTYjIyEiKUZURihGKA==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIjIiIiNiNJInRHRipGLywqKigjIiRAIiIiJUYtLCYtJkYpNiQiIiRGLEYuRi0tJkYpNiRGLUYsRi4hIiJGLSwmLSZGKTYkRjlGLUYuRi0tJkYpNiRGLUYtRi5GPUYtRi0qKEYzRi0sJi0mRik2JEYsRixGLkYtRi1GPUYtLChGQkYtKiZGLEYtRidGLUY9Rj9GLUYtRi0qJiwoKiYjIiM1IiM2Ri1GL0YtRi0qJiIjO0YtRkdGLUY9RlNGLUYtLCZGJ0YtRi1GPUYtRi0qJiMiIz9GUUYtLUkkZXhwRzYkRiVJKF9zeXNsaWJHRio2IyMhIilGUUYtRi0=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiQiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKCMiJEAiIiIlRigsJi0mRjA2JEY3IiIjRjFGKC0mRjA2JEY8RjxGMSEiIkYoLCYtJkYwNiRGN0YoRjFGKC0mRjA2JEY8RihGMUZARihGKCooRjZGKCwmLSZGMDYkRidGPEYxRihGKEZARigsKEZFRigqJkY8RihGLkYoRkBGQkYoRihGKComLCgqJiMiI0UiIzZGKEYyRihGKComIiM7RihGSkYoRkBGVkYoRigsJkYuRihGKEZARihGKComIyIjSUZURigtSSRleHBHNiRGLEkoX3N5c2xpYkdGJTYjIyEjN0ZURihGKA==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIkIiIiNiNJInRHRipGLywqKigjIiRAIiIiJUYtLCYtJkYpNiRGNCIiI0YuRi0tJkYpNiRGOUY5Ri4hIiJGLSwmLSZGKTYkRjRGLUYuRi0tJkYpNiRGOUYtRi5GPUYtRi0qKEYzRi0sJi0mRik2JEYsRjlGLkYtRi1GPUYtLChGQkYtKiZGOUYtRidGLUY9Rj9GLUYtRi0qJiwoKiYjIiNFIiM2Ri1GL0YtRi0qJiIjO0YtRkdGLUY9RlNGLUYtLCZGJ0YtRi1GPUYtRi0qJiMiI0lGUUYtLUkkZXhwRzYkRiVJKF9zeXNsaWJHRio2IyMhIzdGUUYtRi0=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiUiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKCMiJEAiRidGKCwmLSZGMDYkIiImIiIjRjFGKC0mRjA2JCIiJEY8RjEhIiJGKCwmLSZGMDYkRjtGKEYxRigtJkYwNiRGQEYoRjFGQUYoRigqKEY2RigsJi0mRjA2JEYnRjxGMUYoRihGQUYoLChGRkYoKiZGPEYoRi5GKEZBRkNGKEYoRigqJiwoKiYjIiNVIiM2RihGMkYoRigqJiIjO0YoRktGKEZBRldGKEYoLCZGLkYoRihGQUYoRigqJiMiI1NGVUYoLUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IyMhIztGVUYoRig=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIlIiIiNiNJInRHRipGLywqKigjIiRAIkYsRi0sJi0mRik2JCIiJiIiI0YuRi0tJkYpNiQiIiRGOUYuISIiRi0sJi0mRik2JEY4Ri1GLkYtLSZGKTYkRj1GLUYuRj5GLUYtKihGM0YtLCYtJkYpNiRGLEY5Ri5GLUYtRj5GLSwoRkNGLSomRjlGLUYnRi1GPkZARi1GLUYtKiYsKComIyIjVSIjNkYtRi9GLUYtKiYiIztGLUZIRi1GPkZURi1GLSwmRidGLUYtRj5GLUYtKiYjIiNTRlJGLS1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMjISM7RlJGLUYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiYiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKCMiJEAiIiIlRigsJi0mRjA2JCIiJyIiI0YxRigtJkYwNiRGN0Y9RjEhIiJGKCwmLSZGMDYkRjxGKEYxRigtJkYwNiRGN0YoRjFGQUYoRigqKEY2RigsJi0mRjA2JEYnRj1GMUYoRihGQUYoLChGRkYoKiZGPUYoRi5GKEZBRkNGKEYoRigqJiwoKiYjIiNlIiM2RihGMkYoRigqJiIjO0YoRktGKEZBRldGKEYoLCZGLkYoRihGQUYoRigqJiMiI11GVUYoLUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IyMhIz9GVUYoRig=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiImIiIiNiNJInRHRipGLywqKigjIiRAIiIiJUYtLCYtJkYpNiQiIiciIiNGLkYtLSZGKTYkRjRGOkYuISIiRi0sJi0mRik2JEY5Ri1GLkYtLSZGKTYkRjRGLUYuRj5GLUYtKihGM0YtLCYtJkYpNiRGLEY6Ri5GLUYtRj5GLSwoRkNGLSomRjpGLUYnRi1GPkZARi1GLUYtKiYsKComIyIjZSIjNkYtRi9GLUYtKiYiIztGLUZIRi1GPkZURi1GLSwmRidGLUYtRj5GLUYtKiYjIiNdRlJGLS1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMjISM/RlJGLUYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiciIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKCMiJEAiIiIlRigsJi0mRjA2JCIiKCIiI0YxRigtJkYwNiQiIiZGPUYxISIiRigsJi0mRjA2JEY8RihGMUYoLSZGMDYkRkFGKEYxRkJGKEYoKihGNkYoLCYtJkYwNiRGJ0Y9RjFGKEYoRkJGKCwoRkdGKComRj1GKEYuRihGQkZERihGKEYoKiYsKComIyIjdSIjNkYoRjJGKEYoKiYiIztGKEZMRihGQkZYRihGKCwmRi5GKEYoRkJGKEYoKiYjIiNnRlZGKC1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMjISNDRlZGKEYo">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiInIiIiNiNJInRHRipGLywqKigjIiRAIiIiJUYtLCYtJkYpNiQiIigiIiNGLkYtLSZGKTYkIiImRjpGLiEiIkYtLCYtJkYpNiRGOUYtRi5GLS0mRik2JEY+Ri1GLkY/Ri1GLSooRjNGLSwmLSZGKTYkRixGOkYuRi1GLUY/Ri0sKEZERi0qJkY6Ri1GJ0YtRj9GQUYtRi1GLSomLCgqJiMiI3UiIzZGLUYvRi1GLSomIiM7Ri1GSUYtRj9GVUYtRi0sJkYnRi1GLUY/Ri1GLSomIyIjZ0ZTRi0tSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjIyEjQ0ZTRi1GLQ==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIigiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKCMiJEAiIiIlRigsJi0mRjA2JCIiKSIiI0YxRigtJkYwNiQiIidGPUYxISIiRigsJi0mRjA2JEY8RihGMUYoLSZGMDYkRkFGKEYxRkJGKEYoKihGNkYoLCYtJkYwNiRGJ0Y9RjFGKEYoRkJGKCwoRkdGKComRj1GKEYuRihGQkZERihGKEYoKiYsKComIyIjISoiIzZGKEYyRihGKComIiM7RihGTEYoRkJGWEYoRigsJkYuRihGKEZCRihGKComIyIjcUZWRigtSSRleHBHNiRGLEkoX3N5c2xpYkdGJTYjIyEjR0ZWRihGKA==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIoIiIiNiNJInRHRipGLywqKigjIiRAIiIiJUYtLCYtJkYpNiQiIikiIiNGLkYtLSZGKTYkIiInRjpGLiEiIkYtLCYtJkYpNiRGOUYtRi5GLS0mRik2JEY+Ri1GLkY/Ri1GLSooRjNGLSwmLSZGKTYkRixGOkYuRi1GLUY/Ri0sKEZERi0qJkY6Ri1GJ0YtRj9GQUYtRi1GLSomLCgqJiMiIyEqIiM2Ri1GL0YtRi0qJiIjO0YtRklGLUY/RlVGLUYtLCZGJ0YtRi1GP0YtRi0qJiMiI3FGU0YtLUkkZXhwRzYkRiVJKF9zeXNsaWJHRio2IyMhI0dGU0YtRi0=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIikiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKCMiJEAiIiIlRigsJi0mRjA2JCIiKiIiI0YxRigtJkYwNiQiIihGPUYxISIiRigsJi0mRjA2JEY8RihGMUYoLSZGMDYkRkFGKEYxRkJGKEYoKihGNkYoLCYtJkYwNiRGJ0Y9RjFGKEYoRkJGKCwoRkdGKComRj1GKEYuRihGQkZERihGKEYoKiYsKComIyIkMSIiIzZGKEYyRihGKComIiM7RihGTEYoRkJGWEYoRigsJkYuRihGKEZCRihGKComIyIjISlGVkYoLUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IyMhI0tGVkYoRig=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIpIiIiNiNJInRHRipGLywqKigjIiRAIiIiJUYtLCYtJkYpNiQiIioiIiNGLkYtLSZGKTYkIiIoRjpGLiEiIkYtLCYtJkYpNiRGOUYtRi5GLS0mRik2JEY+Ri1GLkY/Ri1GLSooRjNGLSwmLSZGKTYkRixGOkYuRi1GLUY/Ri0sKEZERi0qJkY6Ri1GJ0YtRj9GQUYtRi1GLSomLCgqJiMiJDEiIiM2Ri1GL0YtRi0qJiIjO0YtRklGLUY/RlVGLUYtLCZGJ0YtRi1GP0YtRi0qJiMiIyEpRlNGLS1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMjISNLRlNGLUYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIioiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLCoqKCMiJEAiIiIlRigsJi0mRjA2JCIjNSIiI0YxRigtJkYwNiQiIilGPUYxISIiRigsJi0mRjA2JEY8RihGMUYoLSZGMDYkRkFGKEYxRkJGKEYoKihGNkYoLCYtJkYwNiRGJ0Y9RjFGKEYoRkJGKCwoRkdGKComRj1GKEYuRihGQkZERihGKEYoKiYsKComIyIkQSIiIzZGKEYyRihGKComIiM7RihGTEYoRkJGWEYoRigsJkYuRihGKEZCRihGKComIyIjISpGVkYoLUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IyMhI09GVkYoRig=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIqIiIiNiNJInRHRipGLywqKigjIiRAIiIiJUYtLCYtJkYpNiQiIzUiIiNGLkYtLSZGKTYkIiIpRjpGLiEiIkYtLCYtJkYpNiRGOUYtRi5GLS0mRik2JEY+Ri1GLkY/Ri1GLSooRjNGLSwmLSZGKTYkRixGOkYuRi1GLUY/Ri0sKEZERi0qJkY6Ri1GJ0YtRj9GQUYtRi1GLSomLCgqJiMiJEEiIiM2Ri1GL0YtRi0qJiIjO0YtRklGLUY/RlVGLUYtLCZGJ0YtRi1GP0YtRi0qJiMiIyEqRlNGLS1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMjISNPRlNGLUYt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L25" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i,2]:=eval(eq[i,2]);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiIiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDAjIiYmKXAjIiRVI0YnKiZGNkYnRi5GJyEiIiomIiRAIkYnLSZGMDYkRihGKEYxRidGJyomIyIjNkYoRictJkYwNiRGKEYnRjFGJ0YnKiYiIiVGJy0mRjA2JEYnRidGMUYnRicqJkYoRidGMkYnRjgqKCIjNUYnRjJGJy1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMjISIlRkBGJ0Y4">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIiIiIjNiNJInRHRipGLywwIyImJilwIyIkVSNGLComRjNGLEYnRiwhIiIqJiIkQCJGLC0mRik2JEYtRi1GLkYsRiwqJiMiIzZGLUYsLSZGKTYkRi1GLEYuRixGLComIiIlRiwtJkYpNiRGLEYsRi5GLEYsKiZGLUYsRi9GLEY1KigiIzVGLEYvRiwtSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjIyEiJUY9RixGNQ==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiNGJy8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkLSZJInVHRiVGJjYjSSJ0R0YlRjEsNComIiRAIiIiIi0mRi82JEY1RidGMEY1RjUqJiIkVSNGNUYtRjUhIiIqJkY0RjUtJkYvNiQiIiRGJ0YwRjVGNSomIyIjNkYnRjUtJkYvNiRGQEY1RjBGNUY1KiZGQkY1LSZGLzYkRjVGNUYwRjVGOyomIiIlRjUtJkYvNiRGJ0Y1RjBGNUY1IyIkIVtGNEY7KiZGJ0Y1RjFGNUY7KigiIzVGNUYxRjUtSSRleHBHNiRGK0koX3N5c2xpYkdGJTYjIyEiKUZDRjVGOw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIjRiw2I0kidEdGKkYuLDQqJiIkQCIiIiItJkYpNiRGMkYsRi1GMkYyKiYiJFUjRjJGJ0YyISIiKiZGMUYyLSZGKTYkIiIkRixGLUYyRjIqJiMiIzZGLEYyLSZGKTYkRj1GMkYtRjJGMiomRj9GMi0mRik2JEYyRjJGLUYyRjgqJiIiJUYyLSZGKTYkRixGMkYtRjJGMiMiJCFbRjFGOComRixGMkYuRjJGOCooIiM1RjJGLkYyLUkkZXhwRzYkRiVJKF9zeXNsaWJHRio2IyMhIilGQEYyRjg=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiQiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDQqJiIkQCIiIiItJkYwNiRGKEYoRjFGNkY2KiYiJFUjRjZGLkY2ISIiKiZGNUY2LSZGMDYkIiIlRihGMUY2RjYqJiMiIzZGKEY2LSZGMDYkRkFGNkYxRjZGNiomRkNGNi0mRjA2JEYoRjZGMUY2RjwqJkZBRjYtJkYwNiRGJ0Y2RjFGNkY2IyIkdiVGNUY8KiZGKEY2RjJGNkY8KigiIzVGNkYyRjYtSSRleHBHNiRGLEkoX3N5c2xpYkdGJTYjIyEjN0ZERjZGPA==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIkIiIjNiNJInRHRipGLyw0KiYiJEAiIiIiLSZGKTYkRi1GLUYuRjNGMyomIiRVI0YzRidGMyEiIiomRjJGMy0mRik2JCIiJUYtRi5GM0YzKiYjIiM2Ri1GMy0mRik2JEY+RjNGLkYzRjMqJkZARjMtJkYpNiRGLUYzRi5GM0Y5KiZGPkYzLSZGKTYkRixGM0YuRjNGMyMiJHYlRjJGOSomRi1GM0YvRjNGOSooIiM1RjNGL0YzLUkkZXhwRzYkRiVJKF9zeXNsaWJHRio2IyMhIzdGQUYzRjk=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiUiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDQqJiIkQCIiIiItJkYwNiQiIiRGKEYxRjZGNiomIiRVI0Y2Ri5GNiEiIiomRjVGNi0mRjA2JCIiJkYoRjFGNkY2KiYjIiM2RihGNi0mRjA2JEZCRjZGMUY2RjYqJkZERjYtJkYwNiRGOkY2RjFGNkY9KiZGJ0Y2LSZGMDYkRidGNkYxRjZGNiMiJG8lRjVGPSomRihGNkYyRjZGPSooIiM1RjZGMkY2LUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IyMhIztGRUY2Rj0=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIlIiIjNiNJInRHRipGLyw0KiYiJEAiIiIiLSZGKTYkIiIkRi1GLkYzRjMqJiIkVSNGM0YnRjMhIiIqJkYyRjMtJkYpNiQiIiZGLUYuRjNGMyomIyIjNkYtRjMtJkYpNiRGP0YzRi5GM0YzKiZGQUYzLSZGKTYkRjdGM0YuRjNGOiomRixGMy0mRik2JEYsRjNGLkYzRjMjIiRvJUYyRjoqJkYtRjNGL0YzRjoqKCIjNUYzRi9GMy1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMjISM7RkJGM0Y6</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiYiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDQqJiIkQCIiIiItJkYwNiQiIiVGKEYxRjZGNiomIiRVI0Y2Ri5GNiEiIiomRjVGNi0mRjA2JCIiJ0YoRjFGNkY2KiYjIiM2RihGNi0mRjA2JEZCRjZGMUY2RjYqJkZERjYtJkYwNiRGOkY2RjFGNkY9KiZGOkY2LSZGMDYkRidGNkYxRjZGNiMiJGYlRjVGPSomRihGNkYyRjZGPSooIiM1RjZGMkY2LUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IyMhIz9GRUY2Rj0=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiImIiIjNiNJInRHRipGLyw0KiYiJEAiIiIiLSZGKTYkIiIlRi1GLkYzRjMqJiIkVSNGM0YnRjMhIiIqJkYyRjMtJkYpNiQiIidGLUYuRjNGMyomIyIjNkYtRjMtJkYpNiRGP0YzRi5GM0YzKiZGQUYzLSZGKTYkRjdGM0YuRjNGOiomRjdGMy0mRik2JEYsRjNGLkYzRjMjIiRmJUYyRjoqJkYtRjNGL0YzRjoqKCIjNUYzRi9GMy1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMjISM/RkJGM0Y6</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIiciIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDQqJiIkQCIiIiItJkYwNiQiIiZGKEYxRjZGNiomIiRVI0Y2Ri5GNiEiIiomRjVGNi0mRjA2JCIiKEYoRjFGNkY2KiYjIiM2RihGNi0mRjA2JEZCRjZGMUY2RjYqJkZERjYtJkYwNiRGOkY2RjFGNkY9KiYiIiVGNi0mRjA2JEYnRjZGMUY2RjYjIiRbJUY1Rj0qJkYoRjZGMkY2Rj0qKCIjNUY2RjJGNi1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMjISNDRkVGNkY9">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiInIiIjNiNJInRHRipGLyw0KiYiJEAiIiIiLSZGKTYkIiImRi1GLkYzRjMqJiIkVSNGM0YnRjMhIiIqJkYyRjMtJkYpNiQiIihGLUYuRjNGMyomIyIjNkYtRjMtJkYpNiRGP0YzRi5GM0YzKiZGQUYzLSZGKTYkRjdGM0YuRjNGOiomIiIlRjMtJkYpNiRGLEYzRi5GM0YzIyIkWyVGMkY6KiZGLUYzRi9GM0Y6KigiIzVGM0YvRjMtSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjIyEjQ0ZCRjNGOg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIigiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDQqJiIkQCIiIiItJkYwNiQiIidGKEYxRjZGNiomIiRVI0Y2Ri5GNiEiIiomRjVGNi0mRjA2JCIiKUYoRjFGNkY2KiYjIiM2RihGNi0mRjA2JEZCRjZGMUY2RjYqJkZERjYtJkYwNiRGOkY2RjFGNkY9KiYiIiVGNi0mRjA2JEYnRjZGMUY2RjYjIiROJUY1Rj0qJkYoRjZGMkY2Rj0qKCIjNUY2RjJGNi1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMjISNHRkVGNkY9">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIoIiIjNiNJInRHRipGLyw0KiYiJEAiIiIiLSZGKTYkIiInRi1GLkYzRjMqJiIkVSNGM0YnRjMhIiIqJkYyRjMtJkYpNiQiIilGLUYuRjNGMyomIyIjNkYtRjMtJkYpNiRGP0YzRi5GM0YzKiZGQUYzLSZGKTYkRjdGM0YuRjNGOiomIiIlRjMtJkYpNiRGLEYzRi5GM0YzIyIkTiVGMkY6KiZGLUYzRi9GM0Y6KigiIzVGM0YvRjMtSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjIyEjR0ZCRjNGOg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIikiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDQqJiIkQCIiIiItJkYwNiQiIihGKEYxRjZGNiomIiRVI0Y2Ri5GNiEiIiomRjVGNi0mRjA2JCIiKkYoRjFGNkY2KiYjIiM2RihGNi0mRjA2JEZCRjZGMUY2RjYqJkZERjYtJkYwNiRGOkY2RjFGNkY9KiYiIiVGNi0mRjA2JEYnRjZGMUY2RjYjIiQ/JUY1Rj0qJkYoRjZGMkY2Rj0qKCIjNUY2RjJGNi1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMjISNLRkVGNkY9">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIpIiIjNiNJInRHRipGLyw0KiYiJEAiIiIiLSZGKTYkIiIoRi1GLkYzRjMqJiIkVSNGM0YnRjMhIiIqJkYyRjMtJkYpNiQiIipGLUYuRjNGMyomIyIjNkYtRjMtJkYpNiRGP0YzRi5GM0YzKiZGQUYzLSZGKTYkRjdGM0YuRjNGOiomIiIlRjMtJkYpNiRGLEYzRi5GM0YzIyIkPyVGMkY6KiZGLUYzRi9GM0Y6KigiIzVGM0YvRjMtSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjIyEjS0ZCRjNGOg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIioiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDQqJiIkQCIiIiItJkYwNiQiIilGKEYxRjZGNiomIiRVI0Y2Ri5GNiEiIiomRjVGNi0mRjA2JCIjNUYoRjFGNkY2KiYjIiM2RihGNi0mRjA2JEZCRjZGMUY2RjYqJkZERjYtJkYwNiRGOkY2RjFGNkY9KiYiIiVGNi0mRjA2JEYnRjZGMUY2RjYjIiQuJUY1Rj0qJkYoRjZGMkY2Rj0qKEZCRjZGMkY2LUkkZXhwRzYkRixJKF9zeXNsaWJHRiU2IyMhI09GRUY2Rj0=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiIqIiIjNiNJInRHRipGLyw0KiYiJEAiIiIiLSZGKTYkIiIpRi1GLkYzRjMqJiIkVSNGM0YnRjMhIiIqJkYyRjMtJkYpNiQiIzVGLUYuRjNGMyomIyIjNkYtRjMtJkYpNiRGP0YzRi5GM0YzKiZGQUYzLSZGKTYkRjdGM0YuRjNGOiomIiIlRjMtJkYpNiRGLEYzRi5GM0YzIyIkLiVGMkY6KiZGLUYzRi9GM0Y6KihGP0YzRi9GMy1JJGV4cEc2JEYlSShfc3lzbGliR0YqNiMjISNPRkJGM0Y6</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiQiIzUiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0kidEdGJUYyLDAqJiQiK3BtbW0hKSEiKSIiIi0mRjA2JCIiKkYoRjFGOEY4KiYkIipubW0xKSEiKEY4Ri5GOCEiIiomJCIrViQ9UCdIRjdGOC0mRjA2JEY8RjhGMUY4RkEqJiQiK1B0WzA1RkBGOC0mRjA2JEYnRjhGMUY4RjgkIisqUjUmM3FGN0ZBKiZGKEY4RjJGOEZBKihGJ0Y4RjJGOC1JJGV4cEc2JEYsSShfc3lzbGliR0YlNiMjISNTIiM2RjhGQQ==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYkIiM1IiIjNiNJInRHRipGLywwKiYkIitwbW1tISkhIikiIiItJkYpNiQiIipGLUYuRjVGNSomJCIqbm1tMSkhIihGNUYnRjUhIiIqJiQiK1YkPVAnSEY0RjUtJkYpNiRGOUY1Ri5GNUY+KiYkIitQdFswNUY9RjUtJkYpNiRGLEY1Ri5GNUY1JCIrKlI1JjNxRjRGPiomRi1GNUYvRjVGPiooRixGNUYvRjUtSSRleHBHNiRGJUkoX3N5c2xpYkdGKjYjIyEjUyIjNkY1Rj4=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L26" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eqs:=seq(seq((eq[i,j]),i=1..N),j=1..NN);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 4412 characters]">[encoded data, 4400 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L27" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=seq(seq(u[i,j](t),i=1..N),j=1..NN);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiWUc2IjY2LSZJInVHRiQ2JCIiIkYqNiNJInRHRiQtJkYoNiQiIiNGKkYrLSZGKDYkIiIkRipGKy0mRig2JCIiJUYqRistJkYoNiQiIiZGKkYrLSZGKDYkIiInRipGKy0mRig2JCIiKEYqRistJkYoNiQiIilGKkYrLSZGKDYkIiIqRipGKy0mRig2JCIjNUYqRistJkYoNiRGKkYwRistJkYoNiRGMEYwRistJkYoNiRGNEYwRistJkYoNiRGOEYwRistJkYoNiRGPEYwRistJkYoNiRGQEYwRistJkYoNiRGREYwRistJkYoNiRGSEYwRistJkYoNiRGTEYwRistJkYoNiRGUEYwRis=">NjYtJkkidUc2IjYkIiIiRig2I0kidEdGJi0mRiU2JCIiI0YoRiktJkYlNiQiIiRGKEYpLSZGJTYkIiIlRihGKS0mRiU2JCIiJkYoRiktJkYlNiQiIidGKEYpLSZGJTYkIiIoRihGKS0mRiU2JCIiKUYoRiktJkYlNiQiIipGKEYpLSZGJTYkIiM1RihGKS0mRiU2JEYoRi5GKS0mRiU2JEYuRi5GKS0mRiU2JEYyRi5GKS0mRiU2JEY2Ri5GKS0mRiU2JEY6Ri5GKS0mRiU2JEY+Ri5GKS0mRiU2JEZCRi5GKS0mRiU2JEZGRi5GKS0mRiU2JEZKRi5GKS0mRiU2JEZORi5GKQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L28" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ICs:=seq(u[i,1](0)=rhs(IC[1]),i=1..N),seq(u[i,2](0)=rhs(IC[2]),i=1..N);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkSUNzRzYiNjYvLSZJInVHRiQ2JCIiIkYrNiMiIiFGKy8tJkYpNiQiIiNGK0YsRisvLSZGKTYkIiIkRitGLEYrLy0mRik2JCIiJUYrRixGKy8tJkYpNiQiIiZGK0YsRisvLSZGKTYkIiInRitGLEYrLy0mRik2JCIiKEYrRixGKy8tJkYpNiQiIilGK0YsRisvLSZGKTYkIiIqRitGLEYrLy0mRik2JCIjNUYrRixGKy8tJkYpNiRGK0YyRixGKy8tJkYpNiRGMkYyRixGKy8tJkYpNiRGN0YyRixGKy8tJkYpNiRGPEYyRixGKy8tJkYpNiRGQUYyRixGKy8tJkYpNiRGRkYyRixGKy8tJkYpNiRGS0YyRixGKy8tJkYpNiRGUEYyRixGKy8tJkYpNiRGVUYyRixGKy8tJkYpNiRGWkYyRixGKw==">NjYvLSZJInVHNiI2JCIiIkYpNiMiIiFGKS8tJkYmNiQiIiNGKUYqRikvLSZGJjYkIiIkRilGKkYpLy0mRiY2JCIiJUYpRipGKS8tJkYmNiQiIiZGKUYqRikvLSZGJjYkIiInRilGKkYpLy0mRiY2JCIiKEYpRipGKS8tJkYmNiQiIilGKUYqRikvLSZGJjYkIiIqRilGKkYpLy0mRiY2JCIjNUYpRipGKS8tJkYmNiRGKUYwRipGKS8tJkYmNiRGMEYwRipGKS8tJkYmNiRGNUYwRipGKS8tJkYmNiRGOkYwRipGKS8tJkYmNiRGP0YwRipGKS8tJkYmNiRGREYwRipGKS8tJkYmNiRGSUYwRipGKS8tJkYmNiRGTkYwRipGKS8tJkYmNiRGU0YwRipGKS8tJkYmNiRGWEYwRipGKQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L29" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol:=dsolve({eqs,ICs},{Y},type=numeric,stiff=true,maxfun=1000000,abserr=1e-6,relerr=1e-5,output=listprocedure);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 7140 characters]">[encoded data, 7096 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L30" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for j to NN do for i to N do U[i,j]:=subs(sol,u[i,j](t));od:od;</Text-field>
</Input>
</Group>
<Group labelreference="L31" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to NN do U[0,i]:=subs(u[1,1](t)=U[1,1],u[1,2](t)=U[1,2],u[2,1](t)=U[2,1],u[2,2](t)=U[2,2],u[0,i](t));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJIlVHNiI2JCIiISIiIkYo">IiIi</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJIlVHNiI2JCIiISIiIyIiIg==">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L32" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to NN do U[N+1,i]:=eval(subs(u[N,1](t)=U[N,1],u[N,2](t)=U[N,2],u[N-1,1](t)=U[N-1,1],u[N-1,2](t)=U[N-1,2],u[N+1,i](t)));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJIlVHNiI2JCIjNiIiIiwoKiYjRiciI1JGKCZGJDYkIiIqRihGKCEiIiomIyIjV0YsRigmRiQ2JCIjNUYoRihGKCMiIiMiIzhGKA==">LCgqJiMiIzYiI1IiIiImSSJVRzYiNiQiIipGJ0YnISIiKiYjIiNXRiZGJyZGKTYkIiM1RidGJ0YnIyIiIyIjOEYn</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJIlVHNiI2JCIjNiIiIywsKiYkIitKTExMTCEjNSIiIiZGJDYkIiIqRihGLiEiIiomJCIrTExMTDghIipGLiZGJDYkIiM1RihGLkYuKiYkIis/TWdtPUYtRi4mRiQ2JEYxRi5GLkYyKiYkIit1T1RtdUYtRi4mRiQ2JEY5Ri5GLkYuJCIrZC0iKSpmJkYtRjI=">LCwqJiQiK0pMTExMISM1IiIiJkkiVUc2IjYkIiIqIiIjRichIiIqJiQiK0xMTEw4ISIqRicmRik2JCIjNUYtRidGJyomJCIrP01nbT1GJkYnJkYpNiRGLEYnRidGLiomJCIrdU9UbXVGJkYnJkYpNiRGNUYnRidGJyQiK2QtIikqZiZGJkYu</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L33" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ua:=1+10*x*t*exp(-4*x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjdWFHNiIsJiIiIkYmKioiIzVGJkkieEdGJEYmSSJ0R0YkRiYtSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2IywkKiYiIiVGJkYpRiYhIiJGJkYm">LCYiIiJGIyoqIiM1RiNJInhHNiJGI0kidEdGJ0YjLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YnNiMsJComIiIlRiNGJkYjISIiRiNGIw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L34" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">va:=1+x^2*t;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjdmFHNiIsJiIiIkYmKiYpSSJ4R0YkIiIjRiZJInRHRiRGJkYm">LCYiIiJGIyomKUkieEc2IiIiI0YjSSJ0R0YnRiNGIw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L35" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">U[N+1,1](1);evalf(subs(x=1.,t=1.,ua));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCIrR0InMz0iISIq</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCIrKlFjSj0iISIq</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L36" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalf(U[N+1,2](1));evalf(subs(x=1.,t=1.,va));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCIrNU1rKik+ISIq</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCIiIyIiIQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L37" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">U[N+1,1](2);evalf(subs(x=1.,t=2.,ua));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCIrb108aTghIio=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCIreUZKbTghIio=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L38" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalf(U[N+1,2](2));evalf(subs(x=1.,t=2.,va));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCIrVEE4eUghIio=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCIiJCIiIQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L39" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">tf:=1.;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjdGZHNiIkIiIiIiIh">JCIiIiIiIQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L40" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">M:=30;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTUc2IiIjSQ==">IiNJ</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L41" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">T1:=[seq(tf*i/M,i=0..M)];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjVDFHNiI3QSQiIiFGJyQiK0xMTExMISM2JCIrbm1tbW1GKiQiKysrKys1ISM1JCIrTExMTDhGLyQiK25tbW07Ri8kIisrKysrP0YvJCIrTExMTEJGLyQiK25tbW1FRi8kIisrKysrSUYvJEYpRi8kIitubW1tT0YvJCIrKysrK1NGLyQiK0xMTExWRi8kIitubW1tWUYvJCIrKysrK11GLyQiK0xMTExgRi8kIitubW1tY0YvJCIrKysrK2dGLyQiK0xMTExqRi8kRixGLyQiKysrKytxRi8kIitMTExMdEYvJCIrbm1tbXdGLyQiKysrKyshKUYvJCIrTExMTCQpRi8kIitubW1tJylGLyQiKysrKyshKkYvJCIrTExMTCQqRi8kIitubW1tJypGLyRGLiEiKg==">N0EkIiIhRiQkIitMTExMTCEjNiQiK25tbW1tRickIisrKysrNSEjNSQiK0xMTEw4RiwkIitubW1tO0YsJCIrKysrKz9GLCQiK0xMTExCRiwkIitubW1tRUYsJCIrKysrK0lGLCRGJkYsJCIrbm1tbU9GLCQiKysrKytTRiwkIitMTExMVkYsJCIrbm1tbVlGLCQiKysrKytdRiwkIitMTExMYEYsJCIrbm1tbWNGLCQiKysrKytnRiwkIitMTExMakYsJEYpRiwkIisrKysrcUYsJCIrTExMTHRGLCQiK25tbW13RiwkIisrKysrISlGLCQiK0xMTEwkKUYsJCIrbm1tbScpRiwkIisrKysrISpGLCQiK0xMTEwkKkYsJCIrbm1tbScqRiwkRishIio=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L42" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">PP:=matrix(N+2,M+1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjUFBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIzc7RioiI0o3Ig==">PTYiNiQ7IiIiIiM3O0YmIiNKRVxbbCE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L43" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N+2 do PP[i,1]:=evalf(subs(x=(i-1)*h,rhs(IC[1])));od:</Text-field>
</Input>
</Group>
<Group labelreference="L44" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N+2 do for j from 2 to M+1 do PP[i,j]:=evalf(subs(t=T1[j],U[i-1,1](t)));od;od:</Text-field>
</Input>
</Group>
<Group labelreference="L45" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotdata := [seq([ seq([(i-1)*h,T1[j],PP[i,j]], i=1..N+2)], j=1..M+1)]:</Text-field>
</Input>
</Group>
<Group labelreference="L46" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">surfdata(plotdata,axes=boxed,title=&quot;Figure Exp. 5.2.11.&quot;,labels=[x,t,&quot;u&quot;],orientation=[-45,60]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="300" type="three-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0">[encoded data, 17580 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L47" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot3d(ua,x=0..1,t=0..1,axes=boxed,title=&quot;Figure Exp. 5.2.12.&quot;,labels=[x,t,&quot;ua&quot;],orientation=[-45,60]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="three-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0">[encoded data, 13696 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L48" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">PP:=matrix(N+2,M+1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjUFBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIzc7RioiI0o3Ig==">PTYiNiQ7IiIiIiM3O0YmIiNKRVxbbCE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L49" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N+2 do PP[i,1]:=evalf(subs(x=(i-1)*h,rhs(IC[2])));od:</Text-field>
</Input>
</Group>
<Group labelreference="L50" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N+2 do for j from 2 to M+1 do PP[i,j]:=evalf(subs(t=T1[j],U[i-1,2](t)));od;od:</Text-field>
</Input>
</Group>
<Group labelreference="L51" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotdata := [seq([ seq([(i-1)*h,T1[j],PP[i,j]], i=1..N+2)], j=1..M+1)]:</Text-field>
</Input>
</Group>
<Group labelreference="L52" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">surfdata(plotdata,axes=boxed,title=&quot;Figure Exp. 5.2.13.&quot;,labels=[x,t,&quot;v&quot;],orientation=[-45,60]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="three-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0">[encoded data, 17588 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L53" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot3d(va,x=0..1,t=0..1,labels=[x,t,&quot;va&quot;],axes=boxed,title=&quot;Figure Exp. 5.2.14.&quot;,orientation=[-45,60]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="300" type="three-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0">[encoded data, 13696 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L56" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>