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<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=""/>
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<Annotation-table>
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<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;with(linalg):with(plots):</Text-field>
</Input>
</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="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc3:=u(x,y)-0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMzRzYiLUkidUdGJDYkSSJ4R0YkSSJ5R0Yk">LUkidUc2IjYkSSJ4R0YkSSJ5R0Yk</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>
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</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),x=0,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),x=1,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>
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</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>
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</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>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzkvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiNGMCEiIiomRjYiIiItJkYvNiMiIiRGMEY5RjktJkYvNiMiIiVGMEY3">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM5NiNJJXpldGFHRipGLiwoLSZGKTYjIiIjRi0hIiItJkYpNiMiIiRGLUYzLSZGKTYjIiIlRi1GNA==</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzovLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIiRGMCEiIiomIiIjIiIiLSZGLzYjIiIlRjBGOkY6LSZGLzYjIiImRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM6NiNJJXpldGFHRipGLiwoLSZGKTYjIiIkRi0hIiItJkYpNiMiIiVGLSIiIy0mRik2IyIiJkYtRjQ=</Equation></Text-field>
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<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>
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<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>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM3RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIiNiNJJXpldGFHRipGLi0mRik2IyIjN0Yt</Equation></Text-field>
</Output>
<Output>
<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>
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<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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<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="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 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="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">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, 4396 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, 4424 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, 4424 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/O0YmRiZFXFtsNTYkIiM2RiYiIiE2JCIiJUYmRiw2JCIjN0YmRiw2JCIiJEYmRiw2JCIjOkYmRiw2JCIjNUYmRiw2JCIjOUYmRiw2JCIiKUYmRiw2JEYmRiZGLDYkIiIjRiZGLDYkIiInRiZGLDYkIiM4RiZGLDYkIiM7RiZGLDYkIiIqRiZGLDYkIiM8RiZGLDYkIiIoRiZGLDYkIiImRiZGLDYkRidGJkYsNiQiIz1GJkYsNiQiIz5GJkYs</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, 4616 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/O0YmRiZFXFtsNTYkIiM2RiYmSSJjR0YjNiNGJjYkIiIlRiYmSSJwR0YjNiNGMDYkIiM3RiYmRi02IyIiIzYkIiIkRiYmRjI2I0Y6NiQiIzpGJiZGLTYjIiImNiQiIzVGJiZGMjYjRkM2JCIjOUYmJkYtRjM2JCIiKUYmJkYyNiNGSjYkRiZGJiZGMkYuNiRGOEYmJkYyRjc2JCIiJ0YmJkYyNiNGUjYkIiM4RiYmRi1GPDYkIiM7RiYmRi1GVDYkIiIqRiYmRjI2I0ZmbjYkIiM8RiYmRi02IyIiKDYkRl1vRiYmRjJGXG82JEZBRiYmRjJGQDYkRidGJiZGLUZFNiQiIz1GJiZGLUZMNiQiIz5GJiZGLUZobg==</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">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="PiZJI0VxRzYiNiMiIiImSSJwR0YlRiY=">JkkicEc2IjYjIiIi</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiMmSSJwR0YlRiY=">JkkicEc2IjYjIiIj</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiQmSSJwR0YlRiY=">JkkicEc2IjYjIiIk</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiUmSSJwR0YlRiY=">JkkicEc2IjYjIiIl</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiYmSSJwR0YlRiY=">JkkicEc2IjYjIiIm</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIicmSSJwR0YlRiY=">JkkicEc2IjYjIiIn</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIigmSSJwR0YlRiY=">JkkicEc2IjYjIiIo</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIikmSSJwR0YlRiY=">JkkicEc2IjYjIiIp</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiomSSJwR0YlRiY=">JkkicEc2IjYjIiIq</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIzUmSSJwR0YlRiY=">JkkicEc2IjYjIiM1</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L46" 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>
<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>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEwmSSJwRzYiNiMiIiIkISt5TiIpZjkhIiImRiQ2IyIiIyQiKy42emlCRiomRiQ2IyIiJCQhK19RcyNbI0YqJkYkNiMiIiUkIitmcmwpKj5GKiZGJDYjIiImJCErQUE2KEgiRiomRiQ2IyIiJyQiK0oqeXQkcCEiIyZGJDYjIiIoJCErailmcTQkRkQmRiQ2IyIiKSQiK1tHPGs2RkQmRiQ2IyIiKiQhK3ZUblhPISIkJkYkNiMiIzUkIitAXFZvJiohIiUmSSJjR0YlRiYkIStsOXkreEZEJkZmbkYsJCIrbG47TjdGKiZGZm5GMSQhK0ctQSNHIkYqJkZmbkY2JCIrejF6NTVGKiZGZm5GOyQhKzB1cDBrRkQmRmZuRkAkIitnLilcSSRGRCZGZm5GRiQhK2NmLEg5RkQmRmZuRkskIiszbFM8XkZUJkZmbkZQJCErXz02eTpGVCZGZm5GViQiK3VoKHkhSEZaJEYqIiIhRic=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEwmSSJwRzYiNiMiIiIkIityTXQ2OSEiIiZGJDYjIiIjJCErVCxAI1sjRiomRiQ2IyIiJCQiK1hkRl1IRiomRiQ2IyIiJSQhK2Imb3B2I0YqJkYkNiMiIiYkIitWbmIwQEYqJkYkNiMiIickIStAVjNLOEYqJkYkNiMiIigkIitlZiVRLighIiMmRiQ2IyIiKSQhK1JgQD1KRkkmRiQ2IyIiKiQiK0dQP2Q2RkkmRiQ2IyIjNSQhK3Z0OyRcJCEiJCZJImNHRiVGJiQiK2xSJHBHKEZJJkZlbkYsJCErJ0cyL0ciRiomRmVuRjEkIitKLHQ/OkYqJkZlbkY2JCErX10yMzlGKiZGZW5GOyQiKyQ9Ui0xIkYqJkZlbkZAJCErWCN6aWAnRkkmRmVuRkUkIitUdjtjTEZJJkZlbkZLJCErKkh3MlYiRkkmRmVuRlAkIisnKlxfW15GWSZGZW5GVSQhKzo/bnY4RlkkRioiIiFGJw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEwmSSJwRzYiNiMiIiIkIStFNUtBNSEiIiZGJDYjIiIjJCIrcDciKSkqPkYqJkYkNiMiIiQkISsqNCRlZEZGKiZGJDYjIiIlJCIrOXZlY0lGKiZGJDYjIiImJCErUEYxI3ojRiomRiQ2IyIiJyQiKzFyTTpARiomRiQ2IyIiKCQhK1pwTU04RiomRiQ2IyIiKSQiK0tBKFEuKCEiIyZGJDYjIiIqJCErJVskWyE0JEZOJkYkNiMiIzUkIitEaUZxNUZOJkkiY0dGJUYmJCErPVN4RV5GTiZGWkYsJCIrcVoqMywiRiomRlpGMSQhK0JKKik0OUYqJkZaRjYkIispSG5sYyJGKiZGWkY7JCErVVN1QzlGKiZGWkZAJCIrIVs+RDEiRiomRlpGRSQhK1NIY2NsRk4mRlpGSiQiK2FBJTNOJEZOJkZaRlAkIStTXkxDOUZOJkZaRlUkIitQSGtwWSEiJCRGKiIiIUYn</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEwmSSJwRzYiNiMiIiIkIitBMiUpb2UhIiMmRiQ2IyIiIyQhK1t2QShIIiEiIiZGJDYjIiIkJCIrOncnZjUjRjAmRiQ2IyIiJSQhK0c2LCN6I0YwJkYkNiMiIiYkIisnXHpqMSRGMCZGJDYjIiInJCErSFNJJXojRjAmRiQ2IyIiKCQiKzpbTDpARjAmRiQ2IyIiKSQhKzNUNUs4RjAmRiQ2IyIiKiQiK2VJc0twRiomRiQ2IyIjNSQhK0pWXl5GRiomSSJjR0YlRiYkIitVdHFVR0YqJkZaRiwkIStxXy0iUidGKiZGWkYyJCIrQSh5KGY1RjAmRlpGNyQhKzNqW0I5RjAmRlpGPCQiK29qc3I6RjAmRlpGQSQhK0gzW0M5RjAmRlpGRiQiK1NhQGo1RjAmRlpGSyQhKyUpZjlZbEYqJkZaRlAkIit3Pzk1TEYqJkZaRlUkISsvZClIRiJGKiRGMCIiIUYn</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEwmSSJwRzYiNiMiIiIkISskPVl4dSMhIiMmRiQ2IyIiIyQiK0phL1FwRiomRiQ2IyIiJCQhKzMoXEJMIiEiIiZGJDYjIiIlJCIrNUhLOkBGNSZGJDYjIiImJCErSWJLJXojRjUmRiQ2IyIiJyQiK29FUW1JRjUmRiQ2IyIiKCQhK2oyMyN6I0Y1JkYkNiMiIikkIispKltrMEBGNSZGJDYjIiIqJCErK0UjcEgiRjUmRiQ2IyIjNSQiK3kieUcoZUYqJkkiY0dGJUYmJCErMSxlejdGKiZGWkYsJCIrVmFLNUxGKiZGWkYxJCErRihHdGEnRiomRlpGNyQiK18vNWo1RjUmRlpGPCQhK3JMJltVIkY1JkZaRkEkIitWS05yOkY1JkZaRkYkIStFcG5COUY1JkZaRkskIit2UmtmNUY1JkZaRlAkIStRWVkiUidGKiZGWkZVJCIrWyM9KVFHRiokRjUiIiFGJw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEwmSSJwRzYiNiMiIiIkIitbNDZvNSEiIyZGJDYjIiIjJCErQypReDQkRiomRiQ2IyIiJCQiK0w1KmUuKEYqJkYkNiMiIiUkISs8InpWTCIhIiImRiQ2IyIiJiQiK21TUTpARjomRiQ2IyIiJyQhKyN6KTQjeiNGOiZGJDYjIiIoJCIrYyYzbjAkRjomRiQ2IyIiKSQhK3NmO2RGRjomRiQ2IyIiKiQiK1pxcikqPkY6JkYkNiMiIzUkIStBM2lBNUY6JkkiY0dGJUYmJCIrV1pnalohIiQmRlpGLCQhKyI+KnpDOUYqJkZaRjEkIisxNjdfTEYqJkZaRjYkIStSKTNjYidGKiZGWkY8JCIrYjwnSDEiRjomRlpGQSQhK0glKUhDOUY6JkZaRkYkIit6JXlvYyJGOiZGWkZLJCErOCkzKDQ5RjomRlpGUCQiKzRbLTY1RjomRlpGVSQhKzZ3dENeRiokRjoiIiFGJw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEwmSSJwRzYiNiMiIiIkISsjR3ZGXCQhIiQmRiQ2IyIiIyQiK0tVXWw2ISIjJkYkNiMiIiQkIStILU0/SkYwJkYkNiMiIiUkIitATydbLihGMCZGJDYjIiImJCErXmI9SzghIiImRiQ2IyIiJyQiKykqZXAwQEZAJkYkNiMiIigkIStmOUBkRkZAJkYkNiMiIikkIitXXiIqXEhGQCZGJDYjIiIqJCErZ2pQI1sjRkAmRiQ2IyIjNSQiK2pmJD5UIkZAJkkiY0dGJUYmJCErTWMkXFsiRiomRmVuRiwkIis6X2dhXkYqJkZlbkYyJCErIm9vQVYiRjAmRmVuRjckIitucFliTEYwJkZlbkY8JCErJyllYlRsRjAmRmVuRkIkIisqW20oZjVGQCZGZW5GRyQhKzw5YDM5RkAmRmVuRkwkIisuImUwXyJGQCZGZW5GUSQhK3g8bSFHIkZAJkZlbkZWJCIrdiEqPSdHKEYwJEZAIiIhRic=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIz4sTComJCIrZmheKnAqISIlIiIiJkkicEdGJTYjRi1GLUYtKiYkIispPiEpeXIkISIkRi0mRi82IyIiI0YtISIiKiYkIisoPnBiOyIhIiNGLSZGLzYjIiIkRi1GLSomJCIrLG1kKDQkRjxGLSZGLzYjIiIlRi1GOComJCIrY2cyUXBGPEYtJkYvNiMiIiZGLUYtKiYkIismPW5zSCJGOEYtJkYvNiMiIidGLUY4KiYkIisuQyIqKSo+RjhGLSZGLzYjIiIoRi1GLSomJCIrVlZVI1sjRjhGLSZGLzYjIiIpRi1GOComJCIrYkEtakJGOEYtJkYvNiMiIipGLUYtKiYkIispKil6KWY5RjhGLSZGLzYjIiM1Ri1GOComJCIrZXIkWypRRixGLSZJImNHRiVGMEYtRi0qJiQiK20qb0hlIkY0Ri0mRmhvRjZGLUY4KiYkIitBV29GXkY0Ri0mRmhvRj5GLUYtKiYkIiszNEFHOUY8Ri0mRmhvRkRGLUY4KiYkIitFPmo0TEY8Ri0mRmhvRkpGLUYtKiYkIit2N1gsa0Y8Ri0mRmhvRlBGLUY4KiYkIiszP0Q2NUY4Ri0mRmhvRlZGLUYtKiYkIitFYzEjRyJGOEYtJkZob0ZmbkYtRjgqJiQiK21gVU43RjhGLSZGaG9GXG9GLUYtKiYkIitxKDMvcShGPEYtJkZob0Zib0YtRjgkRi0iIiFGOA==">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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>
</Group>
<Group labelreference="L47" 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="PkklY3NvbEc2Ijw2LyZJInBHRiQ2IyIiJyQiIiFGLC8mRig2IyIiJkYrLyZGKDYjIiIlRisvJkYoNiMiIiNGKy8mRig2IyIiJEYrLyZGKDYjIiIiRisvJkYoNiMiIzVGKy8mRig2IyIiKkYrLyZGKDYjIiIpRisvJkYoNiMiIihGKy8mSSJjR0YkRi8kIis3dCMqKjQkISM2LyZGU0ZDJCIrTDotKikpKSEjNy8mRlNGRyQiK20rJnBxIkZWLyZGU0Y3JCIrKG9vN3IiRlYvJkZTRk8kIitNS0NjR0ZWLyZGU0ZLJCIrLEdgdUJGVi8mRlNGPyQiK1FnakIqKUZlbi8mRlNGKSQiK0AwYitKRlYvJkZTRjskIitlL01wQkZWLyZGU0YzJCIrJHk6RiZHRlY=">PDYvJkkicEc2IjYjIiInJCIiIUYqLyZGJTYjIiImRikvJkYlNiMiIiVGKS8mRiU2IyIiI0YpLyZGJTYjIiIkRikvJkYlNiMiIiJGKS8mRiU2IyIjNUYpLyZGJTYjIiIqRikvJkYlNiMiIilGKS8mRiU2IyIiKEYpLyZJImNHRiZGLSQiKzd0IyoqNCQhIzYvJkZRRkEkIitMOi0qKSkpISM3LyZGUUZFJCIrbSsmcHEiRlQvJkZRRjUkIisob283ciJGVC8mRlFGTSQiK01LQ2NHRlQvJkZRRkkkIissR2B1QkZULyZGUUY9JCIrUWdqQiopRlkvJkZRRickIitAMGIrSkZULyZGUUY5JCIrZS9NcEJGVC8mRlFGMSQiKyR5OkYmR0ZU</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L48" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">assign(csol);</Text-field>
</Input>
</Group>
<Group labelreference="L49" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=map(eval,Y):</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 do u[i](zeta):=eval((Y[i,1]));od:</Text-field>
</Input>
</Group>
<Group labelreference="L51" 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="L52" 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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">LEgtSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IywkSSJ5R0YoJCErKm8iPSw/ISIpJCEpLFE1SCEjOC1GJDYjLCRGKyQhK2FOd109Ri4kIihNc10qRjEtRiQ2IywkRiskISsmellFbSJGLiQiKGtNSSJGMS1GJDYjLCRGKyQiK3lTcFM5Ri4kIic4cUtGMS1GJDYjLCRGKyQiKyZ6WUVtIkYuJCIlNjshIzktRiQ2IywkRiskISt5U3BTOUYuJCEoSGU7KEYxLUYkNiMsJEYrJCIrYU53XT1GLiQhJUN6RjEtRiQ2IywkRiskIisqbyI9LD9GLiQhI1tGMS1GJDYjLCRGKyQiK2M/KjM2I0YuJCEkViRGMS1GJDYjLCRGKyQhK3UoNCUqPSJGLiQiKDI1KVFGMS1GJDYjLCRGKyQhK1EtOFIiKiEiKiQhKXMlKVtVISM3LUYkNiMsJEYrJCErYWk2KT4nRmFwJCIoYDYtI0ZkcC1GJDYjLCRGKyQhK1VrIzQ4JEZhcCQhK0xJOiMpSCEjNi1GJDYjLCRGKyQiK1VrIzQ4JEZhcCQiK3ZkJT4pSEZjcS1GJDYjLCRGKyQiK2FpNik+J0ZhcCQhKC96IT1GZHAtRiQ2IywkRiskIitRLThSIipGYXAkIilhKG9EJUZkcC1GJDYjLCRGKyQiK3UoNCUqPSJGLiQhJmwxJUYxLUYkNiMsJEYrJCErNldneEBGLiQiKD1LdSRGMS1GJDYjLCRGKyQhK2M/KjM2I0YuJCIpJHltVSNGMQ==</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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">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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="Pi0mSSJ1RzYiNiMiIik2I0kieUdGJixKKiYkIilMKydSJSEjOCIiIi1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYjLCQqJiQiKypvIj0sPyEiKUYwRipGMCEiIkYwRjwqJiQiKSRbS0ciRi9GMC1GMjYjLCQqJiQiK2FOd109RjtGMEYqRjBGPEYwRjAqJiQiJmlzJyEjN0YwLUYyNiMsJComJCIrJnpZRW0iRjtGMEYqRjBGPEYwRjAqJiQiJ0tiNUZJRjAtRjI2IywkKiYkIit5U3BTOUY7RjBGKkYwRjBGMEY8KiYkIiRhJkYvRjAtRjI2IywkRk1GMEYwRjwqJiQiJ1hkbUZJRjAtRjI2IywkRlZGPEYwRjwqJiQiJV9IRi9GMC1GMjYjLCRGQ0YwRjBGPComJCIjUEYvRjAtRjI2IywkRjhGMEYwRjwqJiQiI1FGSUYwLUYyNiMsJComJCIrYz8qMzYjRjtGMEYqRjBGMEYwRjAqJiQiIiNGL0YwLUYyNiMsJComJCIrNldneEBGO0YwRipGMEYwRjBGPComJCIoZXJeJkYvRjAtRjI2IywkKiYkIit1KDQlKj0iRjtGMEYqRjBGPEYwRjAqJiQiKSQqKW9LI0ZJRjAtRjI2IywkKiYkIitRLThSIiohIipGMEYqRjBGPEYwRjwqJiQiKFMhekBGSUYwLUYyNiMsJComJCIrYWk2KT4nRl9yRjBGKkYwRjxGMEY8KiYkIisrI1Imb1QhIzZGMC1GMjYjLCQqJiQiK1VrIzQ4JEZfckYwRipGMEY8RjBGPComJCIrQzBib1RGXHNGMC1GMjYjLCRGYHNGMEYwRjAqJiQiKHpyJz5GSUYwLUYyNiMsJEZmckYwRjBGMComJCIqKj43REJGL0YwLUYyNiMsJEZcckYwRjBGMComJCImaV4iRi9GMC1GMjYjLCRGY3FGMEYwRjwqJiQiJycpKUcmRklGMC1GMjYjLCRGanBGPEYwRjAqJiQiKV8nZk4iRi9GMC1GMjYjLCRGYXBGPEYwRjA=">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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="Pi0mSSJ1RzYiNiMiIzY2I0kieUdGJiIiIQ==">IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L53" 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="L67" 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);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 15180 characters]">[encoded data, 15140 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L54" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display(pp,axes=boxed,thickness=3,title=&quot;Figure Exp. 6.1.&quot;,labels=[y,&quot;u&quot;]);</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, 26104 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L55" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">M:=20;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTUc2IiIjPw==">IiM/</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L56" 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="PkkjVDFHNiI3NyQiIiFGJyQiKysrKytdISM2JCIrKysrKzUhIzUkIisrKysrOkYtJCIrKysrKz9GLSQiKysrKytERi0kIisrKysrSUYtJCIrKysrK05GLSQiKysrKytTRi0kIisrKysrWEYtJEYpRi0kIisrKysrYkYtJCIrKysrK2dGLSQiKysrKytsRi0kIisrKysrcUYtJCIrKysrK3ZGLSQiKysrKyshKUYtJCIrKysrKyYpRi0kIisrKysrISpGLSQiKysrKysmKkYtJCIiIkYn">NzckIiIhRiQkIisrKysrXSEjNiQiKysrKys1ISM1JCIrKysrKzpGKiQiKysrKys/RiokIisrKysrREYqJCIrKysrK0lGKiQiKysrKytORiokIisrKysrU0YqJCIrKysrK1hGKiRGJkYqJCIrKysrK2JGKiQiKysrKytnRiokIisrKysrbEYqJCIrKysrK3FGKiQiKysrKyt2RiokIisrKysrISlGKiQiKysrKysmKUYqJCIrKysrKyEqRiokIisrKysrJipGKiQiIiJGJA==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L57" 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="L58" 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,axes=boxed):</Text-field>
</Input>
</Group>
<Group labelreference="L69" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">pp:=[seq([h*i,evalf(subs(x=i*h,1))],i=1..M+1,i=0..N+1);</Text-field>
</Input>
<Output>
<Text-field style="Error" layout="Error">Error, `;` unexpected</Text-field>
</Output>
</Group>
<Group labelreference="L59" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display(pp,title=&quot;Figure Exp. 6.2.&quot;,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, 13012 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L60" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Ny:=30;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjTnlHNiIiI0k=">IiNJ</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L61" 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="PkkjUFBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIzc7RioiI0k3Ig==">PTYiNiQ7IiIiIiM3O0YmIiNJRVxbbCE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L62" 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="L63" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N+2 do PP[i,1]:=0;PP[i,Ny]:=1;od:</Text-field>
</Input>
</Group>
<Group labelreference="L64" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 2 to N+1 do for j from 2 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="L65" 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="L66" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">surfdata( plotdata, axes=boxed, labels=[x,y,u],orientation=[-120,60] );</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, 16968 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L68" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>