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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=""/>
<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
</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="L72" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Example 6.2 b</Text-field>
</Input>
</Group>
<Group labelreference="L76" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;with(plottools):with(linalg):with(plots):</Text-field>
</Input>
</Group>
<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Digits:=12;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknRGlnaXRzRzYiIiM3">IiM3</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ge:=diff(u(x,y),y$2)=-epsilon^2*diff(u(x,y),x$2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZ2VHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHRiQ2JEkieEdGJEkieUdGJC1JIiRHRig2JEYuIiIjLCQqJilJKGVwc2lsb25HRiRGMiIiIi1GJzYkRiotRjA2JEYtRjJGNyEiIg==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JInVHNiI2JEkieEdGK0kieUdGK0YuRi4sJComSShlcHNpbG9uR0YrIiIjLUYkNiQtRiQ2JEYpRi1GLSIiIiEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=u(x,y)-0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMxRzYiLUkidUdGJDYkSSJ4R0YkSSJ5R0Yk">LUkidUc2IjYkSSJ4R0YkSSJ5R0Yk</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=u(x,y)-0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLUkidUdGJDYkSSJ4R0YkSSJ5R0Yk">LUkidUc2IjYkSSJ4R0YkSSJ5R0Yk</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L82" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Now, the boundary condition at y = 0 is redefined.</Text-field>
</Input>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc3:=diff(u(x,y),y)-u(x,y);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMzRzYiLCYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUdGJDYkSSJ4R0YkSSJ5R0YkRi4iIiJGKiEiIg==">LCYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUc2IjYkSSJ4R0YpSSJ5R0YpRiwiIiJGJyEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc4:=u(x,y)-1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmM0RzYiLCYtSSJ1R0YkNiRJInhHRiRJInlHRiQiIiJGKyEiIg==">LCYtSSJ1RzYiNiRJInhHRiVJInlHRiUiIiIhIiJGKQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">epsilon:=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkoZXBzaWxvbkc2IiIiIg==">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxf:=1/2/h*(-u[m+2](zeta)-3*u[m](zeta)+4*u[m+1](zeta));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZHlkeGZHNiIsJCooIyIiIiIiI0YoSSJoR0YkISIiLCgtJkkidUdGJDYjLCZJIm1HRiRGKEYpRig2I0klemV0YUdGJEYrKiYiIiRGKC0mRi82I0YyRjNGKEYrKiYiIiVGKC0mRi82IywmRjJGKEYoRihGM0YoRihGKEYo">LCQqJkkiaEc2IiEiIiwoLSZJInVHRiU2IywmSSJtR0YlIiIiIiIjRi42I0klemV0YUdGJUYmLSZGKjYjRi1GMCEiJC0mRio2IywmRi1GLkYuRi5GMCIiJUYuI0YuRi8=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxb:=1/2/h*(u[m-2](zeta)+3*u[m](zeta)-4*u[m-1](zeta));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZHlkeGJHNiIsJCooIyIiIiIiI0YoSSJoR0YkISIiLCgtJkkidUdGJDYjLCZJIm1HRiRGKEYpRis2I0klemV0YUdGJEYoKiYiIiRGKC0mRi82I0YyRjNGKEYoKiYiIiVGKC0mRi82IywmRjJGKEYoRitGM0YoRitGKEYo">LCQqJkkiaEc2IiEiIiwoLSZJInVHRiU2IywmSSJtR0YlIiIiISIjRi42I0klemV0YUdGJUYuLSZGKjYjRi1GMCIiJC0mRio2IywmRi1GLkYmRi5GMCEiJUYuI0YuIiIj</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydx:=1/2/h*(u[m+1](zeta)-u[m-1](zeta));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklZHlkeEc2IiwkKigjIiIiIiIjRihJImhHRiQhIiIsJi0mSSJ1R0YkNiMsJkkibUdGJEYoRihGKDYjSSV6ZXRhR0YkRigtJkYvNiMsJkYyRihGKEYrRjNGK0YoRig=">LCQqJkkiaEc2IiEiIiwmLSZJInVHRiU2IywmSSJtR0YlIiIiRi5GLjYjSSV6ZXRhR0YlRi4tJkYqNiMsJkYtRi5GJkYuRi9GJkYuI0YuIiIj</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">d2ydx2:=1/h^2*(u[m-1](zeta)-2*u[m](zeta)+u[m+1](zeta));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknZDJ5ZHgyRzYiKiYpSSJoR0YkIiIjISIiLCgtJkkidUdGJDYjLCZJIm1HRiQiIiJGMUYpNiNJJXpldGFHRiRGMSomRihGMS0mRi02I0YwRjJGMUYpLSZGLTYjLCZGMEYxRjFGMUYyRjFGMQ==">KiZJImhHNiIhIiMsKC0mSSJ1R0YkNiMsJkkibUdGJCIiIiEiIkYtNiNJJXpldGFHRiRGLS0mRik2I0YsRi9GJS0mRik2IywmRixGLUYtRi1GL0YtRi0=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=subs(diff(u(x,y),x)=subs(m=0,dydxf),u(x,y)=u[0](zeta),bc1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMxRzYiLSZJInVHRiQ2IyIiITYjSSV6ZXRhR0Yk">LSZJInVHNiI2IyIiITYjSSV6ZXRhR0Yl</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=subs(diff(u(x,y),x)=subs(m=N+1,dydxb),u(x,y)=u[N+1](zeta),bc2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLSZJInVHRiQ2IywmSSJOR0YkIiIiRitGKzYjSSV6ZXRhR0Yk">LSZJInVHNiI2IywmSSJOR0YlIiIiRilGKTYjSSV6ZXRhR0Yl</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L16" 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="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[0]:=bc1; </Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiEtJkkidUdGJUYmNiNJJXpldGFHRiU=">LSZJInVHNiI2IyIiITYjSSV6ZXRhR0Yl</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L18" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[N+1]:=bc2; </Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzYtJkkidUdGJUYmNiNJJXpldGFHRiU=">LSZJInVHNiI2IyIjNjYjSSV6ZXRhR0Yl</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[N+1+i]:=diff(u[N+1+i](zeta),zeta)= subs(diff(u(x,y),x$2) = subs(m=i,d2ydx2),diff(u(x,y),x) = subs(m=i,dydx),u(x,y)=u[i](zeta),x=i*h,rhs(h^2/epsilon^2*ge));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzcvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiFGMCEiIiomIiIjIiIiLSZGLzYjRjpGMEY6RjotJkYvNiNGOUYwRjc=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM3NiNJJXpldGFHRipGLiwoLSZGKTYjIiIhRi0hIiItJkYpNiMiIiJGLSIiIy0mRik2I0Y5Ri1GNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzgvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiJGMCEiIiomIiIjRjYtJkYvNiNGOUYwRjZGNi0mRi82IyIiJEYwRjc=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM4NiNJJXpldGFHRipGLiwoLSZGKTYjIiIiRi0hIiItJkYpNiMiIiNGLUY4LSZGKTYjIiIkRi1GNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzkvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiNGMCEiIiomRjYiIiItJkYvNiMiIiRGMEY5RjktJkYvNiMiIiVGMEY3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM5NiNJJXpldGFHRipGLiwoLSZGKTYjIiIjRi0hIiItJkYpNiMiIiRGLUYzLSZGKTYjIiIlRi1GNA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzovLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiRGMCEiIiomIiIjIiIiLSZGLzYjIiIlRjBGOkY6LSZGLzYjIiImRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM6NiNJJXpldGFHRipGLiwoLSZGKTYjIiIkRi0hIiItJkYpNiMiIiVGLSIiIy0mRik2IyIiJkYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzsvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiVGMCEiIiomIiIjIiIiLSZGLzYjIiImRjBGOkY6LSZGLzYjIiInRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM7NiNJJXpldGFHRipGLiwoLSZGKTYjIiIlRi0hIiItJkYpNiMiIiZGLSIiIy0mRik2IyIiJ0YtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzwvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiZGMCEiIiomIiIjIiIiLSZGLzYjIiInRjBGOkY6LSZGLzYjIiIoRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM8NiNJJXpldGFHRipGLiwoLSZGKTYjIiImRi0hIiItJkYpNiMiIidGLSIiIy0mRik2IyIiKEYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIz0vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIidGMCEiIiomIiIjIiIiLSZGLzYjIiIoRjBGOkY6LSZGLzYjIiIpRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM9NiNJJXpldGFHRipGLiwoLSZGKTYjIiInRi0hIiItJkYpNiMiIihGLSIiIy0mRik2IyIiKUYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIz4vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIihGMCEiIiomIiIjIiIiLSZGLzYjIiIpRjBGOkY6LSZGLzYjIiIqRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM+NiNJJXpldGFHRipGLiwoLSZGKTYjIiIoRi0hIiItJkYpNiMiIilGLSIiIy0mRik2IyIiKkYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIz8vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIilGMCEiIiomIiIjIiIiLSZGLzYjIiIqRjBGOkY6LSZGLzYjIiM1RjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM/NiNJJXpldGFHRipGLiwoLSZGKTYjIiIpRi0hIiItJkYpNiMiIipGLSIiIy0mRik2IyIjNUYtRjQ=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI0AvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIipGMCEiIiomIiIjIiIiLSZGLzYjIiM1RjBGOkY6LSZGLzYjIiM2RjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNANiNJJXpldGFHRipGLiwoLSZGKTYjIiIqRi0hIiItJkYpNiMiIzVGLSIiIy0mRik2IyIjNkYtRjQ=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[0](zeta):=(solve(eq[0],u[0](zeta)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIiE2I0klemV0YUdGJkYo">IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[N+1](zeta):=solve(eq[N+1],u[N+1](zeta));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIzY2I0klemV0YUdGJiIiIQ==">IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i]:=diff(u[i](zeta),zeta)= u[N+1+i](zeta);od;</Text-field>
</Input>
<Output>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i]:=eval(eq[i]);od;for i from 1 to N do eq[N+1+i]:=eval(eq[N+1+i]);od;</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM3RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIiNiNJJXpldGFHRipGLi0mRik2IyIjN0Yt</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM4RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIjNiNJJXpldGFHRipGLi0mRik2IyIjOEYt</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiQvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM5RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIkNiNJJXpldGFHRipGLi0mRik2IyIjOUYt</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiUvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM6RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIlNiNJJXpldGFHRipGLi0mRik2IyIjOkYt</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiYvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM7RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiImNiNJJXpldGFHRipGLi0mRik2IyIjO0Yt</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzovLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiRGMCEiIiomIiIjIiIiLSZGLzYjIiIlRjBGOkY6LSZGLzYjIiImRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM6NiNJJXpldGFHRipGLiwoLSZGKTYjIiIkRi0hIiItJkYpNiMiIiVGLSIiIy0mRik2IyIiJkYtRjQ=</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzsvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiVGMCEiIiomIiIjIiIiLSZGLzYjIiImRjBGOkY6LSZGLzYjIiInRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM7NiNJJXpldGFHRipGLiwoLSZGKTYjIiIlRi0hIiItJkYpNiMiIiZGLSIiIy0mRik2IyIiJ0YtRjQ=</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzwvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiZGMCEiIiomIiIjIiIiLSZGLzYjIiInRjBGOkY6LSZGLzYjIiIoRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM8NiNJJXpldGFHRipGLiwoLSZGKTYjIiImRi0hIiItJkYpNiMiIidGLSIiIy0mRik2IyIiKEYtRjQ=</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIz4vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIihGMCEiIiomIiIjIiIiLSZGLzYjIiIpRjBGOkY6LSZGLzYjIiIqRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM+NiNJJXpldGFHRipGLiwoLSZGKTYjIiIoRi0hIiItJkYpNiMiIilGLSIiIy0mRik2IyIiKkYtRjQ=</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIz8vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIilGMCEiIiomIiIjIiIiLSZGLzYjIiIqRjBGOkY6LSZGLzYjIiM1RjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM/NiNJJXpldGFHRipGLiwoLSZGKTYjIiIpRi0hIiItJkYpNiMiIipGLSIiIy0mRik2IyIjNUYtRjQ=</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI0AvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCYtJkYvNiMiIipGMCEiIiomIiIjIiIiLSZGLzYjIiM1RjBGOkY6">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNANiNJJXpldGFHRipGLiwmLSZGKTYjIiIqRi0hIiItJkYpNiMiIzVGLSIiIw==</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eqns:=[seq(rhs(eq[j]),j=1..N),seq(rhs(eq[N+1+j]),j=1..N)];</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklZXFuc0c2Ijc2LSZJInVHRiQ2IyIjNzYjSSV6ZXRhR0YkLSZGKDYjIiM4RistJkYoNiMiIzlGKy0mRig2IyIjOkYrLSZGKDYjIiM7RistJkYoNiMiIzxGKy0mRig2IyIjPUYrLSZGKDYjIiM+RistJkYoNiMiIz9GKy0mRig2IyIjQEYrLCYqJiIiIyIiIi0mRig2I0ZURitGVEZULSZGKDYjRlNGKyEiIiwoRlVGZW4qJkZTRlRGWEZURlQtJkYoNiMiIiRGK0ZlbiwoRlhGZW4qJkZTRlRGaG5GVEZULSZGKDYjIiIlRitGZW4sKEZobkZlbiomRlNGVEZeb0ZURlQtJkYoNiMiIiZGK0ZlbiwoRl5vRmVuKiZGU0ZURmRvRlRGVC0mRig2IyIiJ0YrRmVuLChGZG9GZW4qJkZTRlRGam9GVEZULSZGKDYjIiIoRitGZW4sKEZqb0ZlbiomRlNGVEZgcEZURlQtJkYoNiMiIilGK0ZlbiwoRmBwRmVuKiZGU0ZURmZwRlRGVC0mRig2IyIiKkYrRmVuLChGZnBGZW4qJkZTRlRGXHFGVEZULSZGKDYjIiM1RitGZW4sJkZccUZlbiomRlNGVEZicUZURlQ=">NzYtJkkidUc2IjYjIiM3NiNJJXpldGFHRiYtJkYlNiMiIzhGKS0mRiU2IyIjOUYpLSZGJTYjIiM6RiktJkYlNiMiIztGKS0mRiU2IyIjPEYpLSZGJTYjIiM9RiktJkYlNiMiIz5GKS0mRiU2IyIjP0YpLSZGJTYjIiNARiksJi0mRiU2IyIiIkYpIiIjLSZGJTYjRlRGKSEiIiwoRlBGWEZVRlQtJkYlNiMiIiRGKUZYLChGVUZYRlpGVC0mRiU2IyIiJUYpRlgsKEZaRlhGaW5GVC0mRiU2IyIiJkYpRlgsKEZpbkZYRl5vRlQtJkYlNiMiIidGKUZYLChGXm9GWEZjb0ZULSZGJTYjIiIoRilGWCwoRmNvRlhGaG9GVC0mRiU2IyIiKUYpRlgsKEZob0ZYRl1wRlQtJkYlNiMiIipGKUZYLChGXXBGWEZicEZULSZGJTYjIiM1RilGWCwmRmJwRlhGZ3BGVA==</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=[seq(u[i](zeta),i=1..N),seq(u[N+1+i](zeta),i=1..N)];</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiWUc2Ijc2LSZJInVHRiQ2IyIiIjYjSSV6ZXRhR0YkLSZGKDYjIiIjRistJkYoNiMiIiRGKy0mRig2IyIiJUYrLSZGKDYjIiImRistJkYoNiMiIidGKy0mRig2IyIiKEYrLSZGKDYjIiIpRistJkYoNiMiIipGKy0mRig2IyIjNUYrLSZGKDYjIiM3RistJkYoNiMiIzhGKy0mRig2IyIjOUYrLSZGKDYjIiM6RistJkYoNiMiIztGKy0mRig2IyIjPEYrLSZGKDYjIiM9RistJkYoNiMiIz5GKy0mRig2IyIjP0YrLSZGKDYjIiNARis=">NzYtJkkidUc2IjYjIiIiNiNJJXpldGFHRiYtJkYlNiMiIiNGKS0mRiU2IyIiJEYpLSZGJTYjIiIlRiktJkYlNiMiIiZGKS0mRiU2IyIiJ0YpLSZGJTYjIiIoRiktJkYlNiMiIilGKS0mRiU2IyIiKkYpLSZGJTYjIiM1RiktJkYlNiMiIzdGKS0mRiU2IyIjOEYpLSZGJTYjIiM5RiktJkYlNiMiIzpGKS0mRiU2IyIjO0YpLSZGJTYjIiM8RiktJkYlNiMiIz1GKS0mRiU2IyIjPkYpLSZGJTYjIiM/RiktJkYlNiMiI0BGKQ==</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A:=genmatrix(eqns,Y,'b1');</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiQUc2Ii1JJ21hdHJpeEdGJDYjNzY3NiIiIUYqRipGKkYqRipGKkYqRipGKiIiIkYqRipGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYrRipGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRitGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGK0YqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYrRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRitGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGK0YqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYrRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRitGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKzc2IiIjISIiRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGN0Y2RjdGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkY3RjZGN0YqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRjdGNkY3RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGN0Y2RjdGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkY3RjZGN0YqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRjdGNkY3RipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRipGN0Y2RjdGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRipGKkY3RjZGN0YqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRipGKkYqRjdGNkYqRipGKkYqRipGKkYqRipGKkYq">[encoded data, 4324 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L27" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">if N&gt;2 then A:=map(evalf,A):end;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiQUc2Ii1JJ21hdHJpeEdGJDYjNzY3NiQiIiFGK0YqRipGKkYqRipGKkYqRipGKiQiIiJGK0YqRipGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYsRipGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRixGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGLEYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYsRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRixGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGLEYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYsRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRixGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGLDc2JCIiI0YrJCEiIkYrRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGOkY4RjpGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkY6RjhGOkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRjpGOEY6RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGOkY4RjpGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkY6RjhGOkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRjpGOEY6RipGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRipGOkY4RjpGKkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRipGKkY6RjhGOkYqRipGKkYqRipGKkYqRipGKkYqNzZGKkYqRipGKkYqRipGKkYqRjpGOEYqRipGKkYqRipGKkYqRipGKkYq">[encoded data, 4340 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L28" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalm(A);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUknbWF0cml4RzYiNiM3Njc2JCIiIUYpRihGKEYoRihGKEYoRihGKEYoJCIiIkYpRihGKEYoRihGKEYoRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRipGKEYoRihGKEYoRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKkYoRihGKEYoRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYqRihGKEYoRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRipGKEYoRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKkYoRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYqRihGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRipGKEYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKkYoNzZGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYqNzYkIiIjRikkISIiRilGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkY4RjZGOEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRjhGNkY4RihGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGOEY2RjhGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGKEY4RjZGOEYoRihGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGKEYoRjhGNkY4RihGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGKEYoRihGOEY2RjhGKEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGKEYoRihGKEY4RjZGOEYoRihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGKEYoRihGKEYoRjhGNkY4RihGKEYoRihGKEYoRihGKEYoRig3NkYoRihGKEYoRihGKEYoRihGOEY2RihGKEYoRihGKEYoRihGKEYoRig=">[encoded data, 4340 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L29" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">b:=matrix(2*N,1):for i from 1 to 2*N do b[i,1]:=-b1[i];od:evalm(b);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUknbWF0cml4RzYiNiM3NjcjIiIhRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRic=">PTYiNiQ7IiIiIiM/O0YmRiZFXFtsNTYkIiImRiYiIiE2JCIjN0YmRiw2JCIjPEYmRiw2JCIiKUYmRiw2JCIjPkYmRiw2JCIjOEYmRiw2JCIiJUYmRiw2JCIiI0YmRiw2JCIiKEYmRiw2JCIiJ0YmRiw2JCIjNkYmRiw2JCIiKkYmRiw2JEYmRiZGLDYkIiM6RiZGLDYkIiM9RiZGLDYkIiM5RiZGLDYkIiIkRiZGLDYkIiM1RiZGLDYkRidGJkYsNiQiIztGJkYs</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L30" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">h:=eval(1/(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="L31" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">J:=jordan(A,S);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">[encoded data, 4584 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L32" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat:=evalm(S&amp;*exponential(J,zeta)&amp;*inverse(S)):</Text-field>
</Input>
</Group>
<Group labelreference="L33" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat1:=evalm(subs(zeta=zeta-zeta1,evalm(mat))):</Text-field>
</Input>
</Group>
<Group labelreference="L34" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">b2:=evalm(subs(zeta=zeta1,evalm(b))):</Text-field>
</Input>
</Group>
<Group labelreference="L35" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat2:=evalm(mat1&amp;*b2):</Text-field>
</Input>
</Group>
<Group labelreference="L36" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat2:=map(expand,mat2):</Text-field>
</Input>
</Group>
<Group labelreference="L37" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat3:=map(int,mat2,zeta1=0..zeta):</Text-field>
</Input>
</Group>
<Group labelreference="L38" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y0:=matrix(2*N,1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjWTBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIz87RipGKjci">PTYiNiQ7IiIiIiM/O0YmRiZFXFtsIQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L39" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Y0[i,1]:=p[i];od:</Text-field>
</Input>
</Group>
<Group labelreference="L40" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Y0[N+i,1]:=c[i]:od:</Text-field>
</Input>
</Group>
<Group labelreference="L41" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalm(Y0);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUknbWF0cml4RzYiNiM3NjcjJkkicEdGJDYjIiIiNyMmRik2IyIiIzcjJkYpNiMiIiQ3IyZGKTYjIiIlNyMmRik2IyIiJjcjJkYpNiMiIic3IyZGKTYjIiIoNyMmRik2IyIiKTcjJkYpNiMiIio3IyZGKTYjIiM1NyMmSSJjR0YkRio3IyZGUkYuNyMmRlJGMjcjJkZSRjY3IyZGUkY6NyMmRlJGPjcjJkZSRkI3IyZGUkZGNyMmRlJGSjcjJkZSRk4=">PTYiNiQ7IiIiIiM/O0YmRiZFXFtsNTYkIiImRiYmSSJwR0YjNiNGKzYkIiM3RiYmSSJjR0YjNiMiIiM2JCIjPEYmJkYyNiMiIig2JCIiKUYmJkYtNiNGOzYkIiM+RiYmRjI2IyIiKjYkIiM4RiYmRjI2IyIiJDYkIiIlRiYmRi02I0ZJNiRGNEYmJkYtRjM2JEY5RiYmRi1GODYkIiInRiYmRi02I0ZRNiQiIzZGJiZGMjYjRiY2JEZCRiYmRi1GQTYkRiZGJiZGLUZXNiQiIzpGJiZGMkYuNiQiIz1GJiZGMkY9NiQiIzlGJiZGMkZLNiRGR0YmJkYtRkY2JCIjNUYmJkYtNiNGYm82JEYnRiYmRjJGZG82JCIjO0YmJkYyRlM=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L42" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=evalm(mat&amp;*Y0+mat3):</Text-field>
</Input>
</Group>
<Group labelreference="L43" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol0:=map(eval,evalm(subs(zeta=0,evalm(Y)))):</Text-field>
</Input>
</Group>
<Group labelreference="L44" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol1:=map(eval,evalm(subs(zeta=epsilon/h,evalm(Y)))):</Text-field>
</Input>
</Group>
<Group labelreference="L45" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L46" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc3:=diff(u(x,y),y)-u(x,y);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMzRzYiLCYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUdGJDYkSSJ4R0YkSSJ5R0YkRi4iIiJGKiEiIg==">LCYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUc2IjYkSSJ4R0YpSSJ5R0YpRiwiIiJGJyEiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L47" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Eq[i]:=subs(diff(u(x,y),y)=epsilon/h*c[i],u(x,y)=p[i],x=i*h,bc3);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiIsJiomIiM2RicmSSJjR0YlRiZGJ0YnJkkicEdGJUYmISIi">LCYmSSJjRzYiNiMiIiIiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiMsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIiMiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiQsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIiQiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiUsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIiUiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiYsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIiYiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIicsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIiciIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIigsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIigiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiksJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIikiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiosJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIioiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIzUsJiomIiM2IiIiJkkiY0dGJUYmRitGKyZJInBHRiVGJiEiIg==">LCYmSSJjRzYiNiMiIzUiIzYmSSJwR0YlRiYhIiI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L48" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Eq[N+i]:=evalf(subs(diff(u(x,y),y)=epsilon/h*sol1[N+i,1],u(x,y)=sol1[i,1],bc4));od:</Text-field>
</Input>
</Group>
<Group labelreference="L84" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The new sets of constants are:</Text-field>
</Input>
</Group>
<Group labelreference="L49" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">csol:=solve({seq(Eq[i],i=1..2*N)},{seq(c[i],i=1..N),seq(p[i],i=1..N)});</Text-field>
</Input>
<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="L50" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">assign(csol);</Text-field>
</Input>
</Group>
<Group labelreference="L85" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Using the new values of constants the semianalytical solution is recalculated and following plots are obtained.</Text-field>
</Input>
</Group>
<Group labelreference="L51" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">YY:=map(eval,Y):</Text-field>
</Input>
</Group>
<Group labelreference="L52" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do u[i](zeta):=eval((YY[i,1]));od:</Text-field>
</Input>
</Group>
<Group labelreference="L53" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do u[i](zeta):=eval(u[i](zeta));od:</Text-field>
</Input>
</Group>
<Group labelreference="L54" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do u[i](y):=eval(subs(zeta=epsilon*y/h,u[i](zeta)));od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIiE2I0kieUdGJkYo">IiIh</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>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEotSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IywkSSJ5R0YoJCItKHB6NCUqPSIhIzUkIiVaRyEjOi1GJDYjLCRGKyQiLVldaTYpPichIzYkISpoJyl5LyJGMS1GJDYjLCRGKyQiLWgoR0kiUiIqRjckIixqVW84QiVGMS1GJDYjLCRGKyQiLTtAT3BTOUYuJCIqZzFIRiQhIzstRiQ2IywkRiskIi0jZi9cRW0iRi4kIiVzREZILUYkNiMsJEYrJCItIlEheXZdPUYuJCEnYSsiKUYxLUYkNiMsJEYrJCItNl8uPiw/Ri4kISIjRjEtRiQ2IywkRiskIi0nKnBYKTM2I0YuJCEmJylIJEYxLUYkNiMsJEYrJCItb2lyZ3hARi4kISMkKkZILUYkNiMsJEYrJCEtb2lyZ3hARi4kISltRjtMRjEtRiQ2IywkRiskIS0nKnBYKTM2I0YuJCEqI2UlKXlERkgtRiQ2IywkRiskIS02Xy4+LD9GLiQhKSJIYVkmRjEtRiQ2IywkRiskIS0iUSF5dl09Ri4kIilhXnNARjEtRiQ2IywkRiskIS0jZi9cRW0iRi4kISp1Nks/JUZILUYkNiMsJEYrJCEtO0BPcFM5Ri4kIiktPE5ZRjEtRiQ2IywkRiskIS0ocHo0JSo9IkYuJCIpb184WUYxLUYkNiMsJEYrJCEtaChHSSJSIipGNyQiK1BgKy5NISM5LUYkNiMsJEYrJCEtWV1pNik+J0Y3JCEpP3hLcEYxLUYkNiMsJEYrJCEtLVVrIzQ4JEY3JCIteC9IJSlROiEjOC1GJDYjLCRGKyQiLS1VayM0OCRGNyQiLSdIJXA5JClIRl10</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>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIiU2I0kieUdGJixKKiYkIiV5TyEjOiIiIi1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYjLCQqJiQiLShwejQlKj0iISM1RjBGKkYwRjBGMCEiIiomJCIpczoxKClGL0YwLUYyNiMsJComJCItWV1pNik+JyEjNkYwRipGMEYwRjBGPComJCItRnNIUC83ISM7RjAtRjI2IywkKiYkIi1oKEdJIlIiKkZGRjBGKkYwRjBGMEY8KiYkIioqeWshRydGSkYwLUYyNiMsJComJCItO0BPcFM5RjtGMEYqRjBGMEYwRjwqJiQiJCsmRi9GMC1GMjYjLCQqJiQiLSNmL1xFbSJGO0YwRipGMEYwRjBGPComJCIoRDQxIkYvRjAtRjI2IywkKiYkIi0iUSF5dl09RjtGMEYqRjBGMEYwRjAqJiQiJD4iRkpGMC1GMjYjLCQqJiQiLTZfLj4sP0Y7RjBGKkYwRjBGMEYwKiYkIiYqUUZGL0YwLUYyNiMsJComJCItJypwWCkzNiNGO0YwRipGMEYwRjBGPComJCIkRSJGSkYwLUYyNiMsJComJCItb2lyZ3hARjtGMEYqRjBGMEYwRjwqJiQiKWgiR2QmRi9GMC1GMjYjLCRGXnFGPEYwRjwqJiQiKjAiW0dARkpGMC1GMjYjLCRGZXBGPEYwRjAqJiQiKjBrUnQnRkpGMC1GMjYjLCRGXHBGPEYwRjwqJiQiKG1zJHpGL0YwLUYyNiMsJEZjb0Y8RjBGMComJCIpVjdKKSlGL0YwLUYyNiMsJEZqbkY8RjBGPComJCIpdiJIdyVGL0YwLUYyNiMsJEZXRjxGMEY8KiYkIikiM2t1J0YvRjAtRjI2IywkRjhGPEYwRjwqJiQiK1ZZKGZvKkYvRjAtRjI2IywkRk5GPEYwRjwqJiQiKV5JdGRGL0YwLUYyNiMsJEZDRjxGMEY8KiYkIi0pNDY8IiplIyEjOEYwLUYyNiMsJComJCItLVVrIzQ4JEZGRjBGKkYwRjxGMEYwKiYkIi1uJVxrIj5dRmp0RjAtRjI2IywkRl51RjBGMEYw">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</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>
<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>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEotSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IywkSSJ5R0YoJCItKHB6NCUqPSIhIzUkIiUzUCEjOi1GJDYjLCRGKyQiLVldaTYpPichIzYkIilnOjEoKUYxLUYkNiMsJEYrJCItaChHSSJSIipGNyQhLSkqR0ZQLzchIzstRiQ2IywkRiskIi07QE9wUzlGLiQhKiQqXDFHJ0ZBLUYkNiMsJEYrJCItI2YvXEVtIkYuJCIkKFtGMS1GJDYjLCRGKyQiLSJRIXl2XT1GLiQiKDc0MSJGMS1GJDYjLCRGKyQiLTZfLj4sP0YuJCIkKyJGQS1GJDYjLCRGKyQiLScqcFgpMzYjRi4kISY7dSNGMS1GJDYjLCRGKyQiLW9pcmd4QEYuJCIkKkdGQS1GJDYjLCRGKyQhLW9pcmd4QEYuJCEoOipwU0YxLUYkNiMsJEYrJCEtJypwWCkzNiNGLiQiKjhPJkdARkEtRiQ2IywkRiskIS02Xy4+LD9GLiQhKjIhPlB1RkEtRiQ2IywkRiskIS0iUSF5dl09Ri4kIihJI1F6RjEtRiQ2IywkRiskIS0jZi9cRW0iRi4kISlFXFVwRjEtRiQ2IywkRiskIS07QE9wUzlGLiQhKUkqR3clRjEtRiQ2IywkRiskIS0ocHo0JSo9IkYuJCIpelloZkYxLUYkNiMsJEYrJCEtaChHSSJSIipGNyQhK2h4J2ZvKkYxLUYkNiMsJEYrJCEtWV1pNik+J0Y3JCIpNjM+ZEYxLUYkNiMsJEYrJCEtLVVrIzQ4JEY3JCItIzNJOyIqZSMhIzgtRiQ2IywkRiskIi0tVWsjNDgkRjckIi0hKnBdOz5dRlx0</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEotSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IywkSSJ5R0YoJCItKHB6NCUqPSIhIzUkIiZ0LSIhIzstRiQ2IywkRiskIi1ZXWk2KT4nISM2JCIqKVJFUzYhIzotRiQ2IywkRiskIi1oKEdJIlIiKkY3JCItQiozdjZKI0YxLUYkNiMsJEYrJCItO0BPcFM5Ri4kISprQm4wIkY6LUYkNiMsJEYrJCItI2YvXEVtIkYuJCEkUClGOi1GJDYjLCRGKyQiLSJRIXl2XT1GLiQhKCFmPklGMS1GJDYjLCRGKyQiLTZfLj4sP0YuJEY3RjotRiQ2IywkRiskIi0nKnBYKTM2I0YuJCImWGUkRjotRiQ2IywkRiskIi1vaXJneEBGLiQhJHQjRjEtRiQ2IywkRiskIS1vaXJneEBGLiQhKT4mR2olRjotRiQ2IywkRiskIS0nKnBYKTM2I0YuJCIrIXlMMmAiRjEtRiQ2IywkRiskIS02Xy4+LD9GLiQhKVU4dmxGOi1GJDYjLCRGKyQhLSJRIXl2XT1GLiQiKUxKZT9GOi1GJDYjLCRGKyQhLSNmL1xFbSJGLiQhKTkhcDkpRjotRiQ2IywkRiskIS07QE9wUzlGLiQhKXglPWwqRjotRiQ2IywkRiskIS0ocHo0JSo9IkYuJCIqJW9PejlGMS1GJDYjLCRGKyQhLWgoR0kiUiIqRjckIixmQkMoZT1GOi1GJDYjLCRGKyQhLVldaTYpPidGNyQiKVAzLnZGOi1GJDYjLCRGKyQhLS1VayM0OCRGNyQiLVIwZTZeQCEjOC1GJDYjLCRGKyQiLS1VayM0OCRGNyQiLU0+TjJxVEZbdA==</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>
<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>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIzY2I0kieUdGJiIiIQ==">IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L83" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The constants are unassigned.</Text-field>
</Input>
</Group>
<Group labelreference="L80" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do unassign('c[i]'):unassign('p[i]'):od:</Text-field>
</Input>
</Group>
<Group labelreference="L77" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do
  pl[i]:=line([0.3,0.98-abs(i-5.25)*0.14],[0.6,evalf(subs(y=0.6,u[i](y)))],thickness=1,linestyle=dot);
  pt[i]:=textplot([0.3,0.98-abs(i-5.25)*0.14,typeset(u[i],&quot;(y)&quot;)],align=left):
end do:</Text-field>
</Input>
</Group>
<Group labelreference="L55" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do p[i]:=plot(u[i](y),y=0..1,thickness=3);od:</Text-field>
</Input>
</Group>
<Group labelreference="L78" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">pp:=plot([seq(u[i](y),i=0..N+1)],y=0..1,thickness=3):</Text-field>
</Input>
</Group>
<Group labelreference="L56" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display([pp,seq(pl[i],i=0..N+1),seq(pt[i],i=0..N+1)],title=&quot;Figure Exp. 6.4.&quot;,axes=boxed,labels=[y,&quot;u&quot;]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">[encoded data, 51744 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L57" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">M:=5;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTUc2IiIiJg==">IiIm</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L58" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">T1:=[seq(evalf(i/M),i=0..M)];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjVDFHNiI3KCQiIiFGJyQiLSsrKysrPyEjNyQiLSsrKysrU0YqJCItKysrKytnRiokIi0rKysrKyEpRiokIiIiRic=">NygkIiIhRiQkIi0rKysrKz8hIzckIi0rKysrK1NGJyQiLSsrKysrZ0YnJCItKysrKyshKUYnJCIiIkYk</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L59" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for j from 1 to M do P[j]:=plot([seq([h*i,evalf(subs(y=T1[j],evalf(u[i](y))))],i=0..N+1)],style=line,thickness=3,axes=boxed,view=[0..1,0..1.1]):od:</Text-field>
</Input>
</Group>
<Group labelreference="L60" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">P[M+1]:=plot([seq([h*i,evalf(subs(x=i*h,1))],i=0..N+1)],style=line,thickness=3,title=&quot;Figure Exp. 6.5.&quot;,axes=boxed):</Text-field>
</Input>
</Group>
<Group labelreference="L79" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for j from 1 to M+1 do
  pt[j]:=textplot([0.5,evalf(subs(y=T1[j],u[5](y))),typeset(y,sprintf(&quot;=%4.2f&quot;,T1[j]))],align=above);
od:</Text-field>
</Input>
</Group>
<Group labelreference="L61" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display({seq(P[i],i=1..M+1),seq(pt[i],i=1..M+1)},labels=[x,u]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="300" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">[encoded data, 8512 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L62" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Ny:=20;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjTnlHNiIiIz8=">IiM/</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L63" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">PP:=matrix(N+2,Ny);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjUFBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIzc7RioiIz83Ig==">PTYiNiQ7IiIiIiM3O0YmIiM/RVxbbCE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L86" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">For the three dimensional plot, first the boundaries, x = 0, x = 1, and y = 1 are defined.</Text-field>
</Input>
</Group>
<Group labelreference="L64" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to Ny do PP[1,i]:=0;PP[N+2,i]:=0;od:</Text-field>
</Input>
</Group>
<Group labelreference="L65" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N+2 do PP[i,Ny]:=1;od:</Text-field>
</Input>
</Group>
<Group labelreference="L87" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The temperature inside the rectangle is obtained using the semianalytical solution.</Text-field>
</Input>
</Group>
<Group labelreference="L66" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 2 to N+1 do for j from 1 to Ny-1 do PP[i,j]:=evalf(subs(y=(j-1)/(Ny-1),u[i-1](y)));od;od:</Text-field>
</Input>
</Group>
<Group labelreference="L67" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotdata := [seq([ seq([(i-1)/(N+1),(j-1)/(Ny-1),PP[i,j]], i=1..N+2)], j=1..Ny)]:</Text-field>
</Input>
</Group>
<Group labelreference="L68" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">surfdata(plotdata,axes=boxed,title=&quot;Figure Exp.6.6.&quot;, labels=[x,y,u],orientation=[-120,60] );</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, 12404 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L69" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L70" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>