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<Group labelreference="L83" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter the governing equation:</Text-field>
</Input>
</Group>
<Group labelreference="L89" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</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="L84" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter the boundary conditions:</Text-field>
</Input>
</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="L85" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter the finite difference approximations for the derivatives:</Text-field>
</Input>
</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="L86" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Convert the boundary conditions to finite difference form:</Text-field>
</Input>
</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="L87" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter the number of interior node points:</Text-field>
</Input>
</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="L88" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Convert the governing equation to finite difference from (eqatuion 6.1.12):</Text-field>
</Input>
</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>
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<Output>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIz0vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIidGMCEiIiomIiIjIiIiLSZGLzYjIiIoRjBGOkY6LSZGLzYjIiIpRjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM9NiNJJXpldGFHRipGLiwoLSZGKTYjIiInRi0hIiItJkYpNiMiIihGLSIiIy0mRik2IyIiKUYtRjQ=</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI0AvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgtJkYvNiMiIipGMCEiIiomIiIjIiIiLSZGLzYjIiM1RjBGOkY6LSZGLzYjIiM2RjBGNw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNANiNJJXpldGFHRipGLiwoLSZGKTYjIiIqRi0hIiItJkYpNiMiIzVGLSIiIy0mRik2IyIjNkYtRjQ=</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u[0](zeta):=(solve(eq[0],u[0](zeta)));</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIiE2I0klemV0YUdGJkYo">IiIh</Equation></Text-field>
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<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>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi0mSSJ1RzYiNiMiIzY2I0klemV0YUdGJiIiIQ==">IiIh</Equation></Text-field>
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<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>
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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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<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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<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>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIicvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM8RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiInNiNJJXpldGFHRipGLi0mRik2IyIjPEYt</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzUvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiNARjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM1NiNJJXpldGFHRipGLi0mRik2IyIjQEYt</Equation></Text-field>
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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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<Output>
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<Output>
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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>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiI0AvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCYtJkYvNiMiIipGMCEiIiomIiIjIiIiLSZGLzYjIiM1RjBGOkY6">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNANiNJJXpldGFHRipGLiwmLSZGKTYjIiIqRi0hIiItJkYpNiMiIzVGLSIiIw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L24" drawlabel="true">
<Input>
<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>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NzYtJkkidUc2IjYjIiM3NiNJJXpldGFHRiYtJkYlNiMiIzhGKS0mRiU2IyIjOUYpLSZGJTYjIiM6RiktJkYlNiMiIztGKS0mRiU2IyIjPEYpLSZGJTYjIiM9RiktJkYlNiMiIz5GKS0mRiU2IyIjP0YpLSZGJTYjIiNARiksJi0mRiU2IyIiIkYpIiIjLSZGJTYjRlRGKSEiIiwoRlBGWEZVRlQtJkYlNiMiIiRGKUZYLChGVUZYRlpGVC0mRiU2IyIiJUYpRlgsKEZaRlhGaW5GVC0mRiU2IyIiJkYpRlgsKEZpbkZYRl5vRlQtJkYlNiMiIidGKUZYLChGXm9GWEZjb0ZULSZGJTYjIiIoRilGWCwoRmNvRlhGaG9GVC0mRiU2IyIiKUYpRlgsKEZob0ZYRl1wRlQtJkYlNiMiIipGKUZYLChGXXBGWEZicEZULSZGJTYjIiM1RilGWCwmRmJwRlhGZ3BGVA==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L25" drawlabel="true">
<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>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiWUc2Ijc2LSZJInVHRiQ2IyIiIjYjSSV6ZXRhR0YkLSZGKDYjIiIjRistJkYoNiMiIiRGKy0mRig2IyIiJUYrLSZGKDYjIiImRistJkYoNiMiIidGKy0mRig2IyIiKEYrLSZGKDYjIiIpRistJkYoNiMiIipGKy0mRig2IyIjNUYrLSZGKDYjIiM3RistJkYoNiMiIzhGKy0mRig2IyIjOUYrLSZGKDYjIiM6RistJkYoNiMiIztGKy0mRig2IyIjPEYrLSZGKDYjIiM9RistJkYoNiMiIz5GKy0mRig2IyIjP0YrLSZGKDYjIiNARis=">NzYtJkkidUc2IjYjIiIiNiNJJXpldGFHRiYtJkYlNiMiIiNGKS0mRiU2IyIiJEYpLSZGJTYjIiIlRiktJkYlNiMiIiZGKS0mRiU2IyIiJ0YpLSZGJTYjIiIoRiktJkYlNiMiIilGKS0mRiU2IyIiKkYpLSZGJTYjIiM1RiktJkYlNiMiIzdGKS0mRiU2IyIjOEYpLSZGJTYjIiM5RiktJkYlNiMiIzpGKS0mRiU2IyIjO0YpLSZGJTYjIiM8RiktJkYlNiMiIz1GKS0mRiU2IyIjPkYpLSZGJTYjIiM/RiktJkYlNiMiI0BGKQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L26" drawlabel="true">
<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, 4364 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, 4364 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/O0YmRiZFXFtsNTYkIiInRiYiIiE2JCIiI0YmRiw2JCIiKEYmRiw2JCIiJEYmRiw2JCIjO0YmRiw2JEYnRiZGLDYkIiIqRiZGLDYkIiM2RiZGLDYkIiM1RiZGLDYkIiImRiZGLDYkIiIpRiZGLDYkIiM6RiZGLDYkIiM3RiZGLDYkIiM4RiZGLDYkIiM5RiZGLDYkIiM8RiZGLDYkIiM9RiZGLDYkRiZGJkYsNiQiIiVGJkYsNiQiIz5GJkYs</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, 4556 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/O0YmRiZFXFtsNTYkIiInRiYmSSJwR0YjNiNGKzYkIiIjRiYmRi02I0YwNiQiIihGJiZGLTYjRjQ2JCIiJEYmJkYtNiNGODYkIiM7RiYmSSJjR0YjRi42JEYnRiYmRj42IyIjNTYkIiIqRiYmRi02I0ZENiQiIzZGJiZGPjYjRiY2JEZCRiYmRi1GQTYkIiImRiYmRi02I0ZONiQiIilGJiZGLTYjRlI2JCIjOkYmJkY+RlA2JCIjN0YmJkY+RjI2JCIjOEYmJkY+Rjo2JCIjOUYmJkY+NiMiIiU2JCIjPEYmJkY+RjY2JCIjPUYmJkY+RlQ2JEYmRiYmRi1GSjYkRlxvRiYmRi1GW282JCIjPkYmJkY+RkY=</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>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEwmSSJwRzYiNiMiIiIkISs6Pm5mOSEiIiZGJDYjIiIjJCIrcmUkSE8jRiomRiQ2IyIiJCQhK24jSEVbI0YqJkYkNiMiIiUkIitqO1QpKj5GKiZGJDYjIiImJCErdkcvKEgiRiomRiQ2IyIiJyQiK243UFBwISIjJkYkNiMiIigkIStzNjsmNCRGRCZGJDYjIiIpJCIrWXN6ajZGRCZGJDYjIiIqJCErLypmLG0kISIkJkYkNiMiIzUkIitCeXozIyohIiUmSSJjR0YlRiYkISsmPlgucShGRCZGZm5GLCQiKyYzal1CIkYqJkZmbkYxJCErcEBKI0ciRiomRmZuRjYkIitVKG8yLCJGKiZGZm5GOyQhKztGOC9rRkQmRmZuRkAkIitOM0AvTEZEJkZmbkZGJCErS3dISjlGRCZGZm5GSyQiK0U5QSY0JkZUJkZmbkZQJCErT015XzpGVCZGZm5GViQiKyFSYyUqSCRGWiRGKiIiIUYn</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEwmSSJwRzYiNiMiIiIkIitKSGg2OSEiIiZGJDYjIiIjJCErVj9WI1sjRiomRiQ2IyIiJCQiK3ImZS0mSEYqJkYkNiMiIiUkISt6K3pjRkYqJkYkNiMiIiYkIitbM2YwQEYqJkYkNiMiIickIStUTj9LOEYqJkYkNiMiIigkIitvYHRLcSEiIyZGJDYjIiIpJCErbiFvJz1KRkkmRiQ2IyIiKiQiKyMpeVRmNkZJJkYkNiMiIzUkISs8QiFmWCQhIiQmSSJjR0YlRiYkIitgcmYnRyhGSSZGZW5GLCQhK3dVSyFHIkYqJkZlbkYxJCIrIkh0M18iRiomRmVuRjYkIStuVDUzOUYqJkZlbkY7JCIrQU43ZzVGKiZGZW5GQCQhKylIO2ZgJ0ZJJkZlbkZFJCIrcUlHZkxGSSZGZW5GSyQhK2QlUShHOUZJJkZlbkZQJCIrIik0MkJeRlkmRmVuRlUkISsnb2w1VSJGWSRGKiIiIUYn</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIzksTComJCIrLCU9QS0iISIiIiIiJkkicEdGJTYjRi1GLUYsKiYkIithNSsqKj5GLEYtJkYvNiMiIiNGLUYtKiYkIiskeml2diNGLEYtJkYvNiMiIiRGLUYsKiYkIisvNlRjSUYsRi0mRi82IyIiJUYtRi0qJiQiK19DMyN6I0YsRi0mRi82IyIiJkYtRiwqJiQiK0s2WDpARixGLSZGLzYjIiInRi1GLSomJCIrWXJCTThGLEYtJkYvNiMiIihGLUYsKiYkIitRM0BNcSEiI0YtJkYvNiMiIilGLUYtKiYkIitbRk4jNCRGWEYtJkYvNiMiIipGLUYsKiYkIitaZiRwMSJGWEYtJkYvNiMiIzVGLUYtKiYkIitTQVhFXkZYRi0mSSJjR0YlRjBGLUYsKiYkIitTLCMzLCJGLEYtJkZmb0Y1Ri1GLSomJCIrWTwsNTlGLEYtJkZmb0Y7Ri1GLComJCIrJlwiZm06RixGLSZGZm9GQUYtRi0qJiQiK0khUllVIkYsRi0mRmZvRkdGLUYsKiYkIitpUFppNUYsRi0mRmZvRk1GLUYtKiYkIitfWEpmbEZYRi0mRmZvRlNGLUYsKiYkIisvLSxcTEZYRi0mRmZvRlpGLUYtKiYkIittdi9BOUZYRi0mRmZvRmpuRi1GLComJCIrSF1XNFohIiRGLSZGZm9GYG9GLUYtJEYtIiIhRiw=">LEwmSSJwRzYiNiMiIiIkISssJT1BLSIhIiImRiQ2IyIiIyQiK2E1KyoqPkYqJkYkNiMiIiQkISskeml2diNGKiZGJDYjIiIlJCIrLzZUY0lGKiZGJDYjIiImJCErX0MzI3ojRiomRiQ2IyIiJyQiK0s2WDpARiomRiQ2IyIiKCQhK1lyQk04RiomRiQ2IyIiKSQiK1EzQE1xISIjJkYkNiMiIiokIStbRk4jNCRGTiZGJDYjIiM1JCIrWmYkcDEiRk4mSSJjR0YlRiYkIStTQVhFXkZOJkZaRiwkIitTLCMzLCJGKiZGWkYxJCErWTwsNTlGKiZGWkY2JCIrJlwiZm06RiomRlpGOyQhK0khUllVIkYqJkZaRkAkIitpUFppNUYqJkZaRkUkIStfWEpmbEZOJkZaRkokIisvLSxcTEZOJkZaRlAkISttdi9BOUZOJkZaRlUkIitIXVc0WiEiJCRGKiIiIUYn</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEwmSSJwRzYiNiMiIiIkIitvRTtvZSEiIyZGJDYjIiIjJCErKzxQKEgiISIiJkYkNiMiIiQkIitYLCdmNSNGMCZGJDYjIiIlJCErTyp5PXojRjAmRiQ2IyIiJiQiKyJvLGsxJEYwJkYkNiMiIickIStaY1IleiNGMCZGJDYjIiIoJCIrXSFmXzYjRjAmRiQ2IyIiKSQhK3lmOEs4RjAmRiQ2IyIiKiQiK3NANU1wRiomRiQ2IyIjNSQhK0svMlxGRiomSSJjR0YlRiYkIitSUlpVR0YqJkZaRiwkISsoKVtdIVInRiomRlpGMiQiK11bJylmNUYwJkZaRjckISt0P15COUYwJkZaRjwkIityUWxyOkYwJkZaRkEkIStkTldDOUYwJkZaRkYkIishNERNMSJGMCZGWkZLJCErUngjW2EnRiomRlpGUCQiKyxrWzNMRiomRlpGVSQhK1wnKSplRiJGKiRGMCIiIUYn</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIzssTComJCIrS1BOWkYhIiMiIiImSSJwR0YlNiNGLUYtISIiKiYkIitUcCYqUXBGLEYtJkYvNiMiIiNGLUYtKiYkIislPVhCTCJGMUYtJkYvNiMiIiRGLUYxKiYkIitRP0I6QEYxRi0mRi82IyIiJUYtRi0qJiQiK1wqUVZ6I0YxRi0mRi82IyIiJkYtRjEqJiQiK2dWV21JRjFGLSZGLzYjIiInRi1GLSomJCIrNjouI3ojRjFGLSZGLzYjIiIoRi1GMSomJCIrT11tMEBGMUYtJkYvNiMiIilGLUYtKiYkIitiYCsoSCJGMUYtJkYvNiMiIipGLUYxKiYkIitGQE1yZUYsRi0mRi82IyIjNUYtRi0qJiQiK3ByVXo3RixGLSZJImNHRiVGMEYtRjEqJiQiKypILCtKJEYsRi0mRmZvRjZGLUYtKiYkIitlKyR5YSdGLEYtJkZmb0Y8Ri1GMSomJCIrTzQ3ajVGMUYtJkZmb0ZCRi1GLSomJCIrN3EhW1UiRjFGLSZGZm9GSEYtRjEqJiQiK1BbS3I6RjFGLSZGZm9GTkYtRi0qJiQiKykzNVFVIkYxRi0mRmZvRlRGLUYxKiYkIitSMmNmNUYxRi0mRmZvRlpGLUYtKiYkIiswIVIvUidGLEYtJkZmb0ZqbkYtRjEqJiQiKyZvPTElR0YsRi0mRmZvRmBvRi1GLSRGLSIiIUYx">LEwmSSJwRzYiNiMiIiIkIStLUE5aRiEiIyZGJDYjIiIjJCIrVHAmKlFwRiomRiQ2IyIiJCQhKyU9WEJMIiEiIiZGJDYjIiIlJCIrUT9COkBGNSZGJDYjIiImJCErXCpRVnojRjUmRiQ2IyIiJyQiK2dWV21JRjUmRiQ2IyIiKCQhKzY6LiN6I0Y1JkYkNiMiIikkIitPXW0wQEY1JkYkNiMiIiokIStiYCsoSCJGNSZGJDYjIiM1JCIrRkBNcmVGKiZJImNHRiVGJiQhK3ByVXo3RiomRlpGLCQiKypILCtKJEYqJkZaRjEkIStlKyR5YSdGKiZGWkY3JCIrTzQ3ajVGNSZGWkY8JCErN3EhW1UiRjUmRlpGQSQiK1BbS3I6RjUmRlpGRiQhKykzNVFVIkY1JkZaRkskIitSMmNmNUY1JkZaRlAkISswIVIvUidGKiZGWkZVJCIrJm89MSVHRiokRjUiIiFGJw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEwmSSJwRzYiNiMiIiIkIis4XCJ6MSIhIiMmRiQ2IyIiIyQhK1dOQyk0JEYqJkYkNiMiIiQkIit3aSdlLihGKiZGJDYjIiIlJCErb15LTTghIiImRiQ2IyIiJiQiK2E3UjpARjomRiQ2IyIiJyQhK2tYOCN6I0Y6JkYkNiMiIigkIisuOW9jSUY6JkYkNiMiIikkISslNHhydiNGOiZGJDYjIiIqJCIrRiVmKCkqPkY6JkYkNiMiIzUkISttdmBBNUY6JkkiY0dGJUYmJCIrMmF0aVohIiQmRlpGLCQhK0RzaUM5RiomRlpGMSQiKztPT19MRiomRlpGNiQhK0J5dmJsRiomRlpGPCQiKyE9TkgxIkY6JkZaRkEkIStjNkdDOUY6JkZaRkYkIitiMyZwYyJGOiZGWkZLJCErdU9tNDlGOiZGWkZQJCIrXC4oNCwiRjomRlpGVSQhKzVocEReRiokRjoiIiFGJw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LEwmSSJwRzYiNiMiIiIkISt0TSQ+XCQhIiQmRiQ2IyIiIyQiK1FVdmw2ISIjJkYkNiMiIiQkISspcEsuNyRGMCZGJDYjIiIlJCIrMkJmTXFGMCZGJDYjIiImJCErdSYqPUs4ISIiJkYkNiMiIickIitTV3IwQEZAJkYkNiMiIigkIStbJCo+ZEZGQCZGJDYjIiIpJCIrZDUjKlxIRkAmRiQ2IyIiKiQhKzBhUiNbI0ZAJkYkNiMiIzUkIistbyo9VCJGQCZJImNHRiVGJiQhK0gvXiVbIkYqJkZlbkYsJCIrLHomUTomRiomRmVuRjIkISs8Z09LOUYwJkZlbkY3JCIrYnJjYkxGMCZGZW5GPCQhK2kjPjlhJ0YwJkZlbkZCJCIreSdlKGY1RkAmRmVuRkckISs0X2MzOUZAJkZlbkZMJCIrRHZgPzpGQCZGZW5GUSQhKyFvTzFHIkZAJkZlbkZWJCIrYV9qJ0coRjAkRkAiIiFGJw==</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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">LEwmSSJwRzYiNiMiIiIkIStXLyMzQiMhIiUmRiQ2IyIiIyQiK2VbaTUoKkYqJkYkNiMiIiQkIStAP2ElXCQhIiQmRiQ2IyIiJSQiKy9sS281ISIjJkYkNiMiIiYkIStCXElbRkY7JkYkNiMiIickIitdcCUpcGVGOyZGJDYjIiIoJCErX2pZQTUhIiImRiQ2IyIiKSQiKycqcCU+VCJGSyZGJDYjIiIqJCErP2MtZzlGSyZGJDYjIiM1JCIrMXBmNCYqRjsmSSJjR0YlRiYkISsnZi80TCkhIiYmRmZuRiwkIis1TUA1U0YqJkZmbkYxJCErJ2U2SloiRjUmRmZuRjckIitGJls0eCVGNSZGZm5GPSQhK2Y3cXU3RjsmRmZuRkIkIitgJTMxJUdGOyZGZm5GRyQhK0lOQzxeRjsmRmZuRk0kIitVQlEkRyhGOyZGZm5GUiQhK2c0ZyFwKEY7JkZmbkZXJCIrJ3BuWjMmRjskRksiIiFGJw==</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="PkklY3NvbEc2Ijw2LyZJInBHRiQ2IyIiJCQiIiFGLC8mRig2IyIiI0YrLyZGKDYjIiM1RisvJkYoNiMiIipGKy8mRig2IyIiJkYrLyZGKDYjIiIiRisvJkYoNiMiIiVGKy8mRig2IyIiKUYrLyZGKDYjIiIoRisvJkYoNiMiIidGKy8mSSJjR0YkRkskIityNFNiRyEjNi8mRlNGRyQiKzc5YXRCRlYvJkZTRjckIitENjUxPEZWLyZGU0YzJCIrNWU2JSkpKSEjNy8mRlNGLyQiK00lKio+ciJGVi8mRlNGKSQiK049cHBCRlYvJkZTRkMkIiteWCdIJkdGVi8mRlNGTyQiK25EKCoqNCRGVi8mRlNGPyQiK15iSEUqKUZdby8mRlNGOyQiKy1Vayo0JEZW">PDYvJkkicEc2IjYjIiIkJCIiIUYqLyZGJTYjIiIjRikvJkYlNiMiIzVGKS8mRiU2IyIiKkYpLyZGJTYjIiImRikvJkYlNiMiIiJGKS8mRiU2IyIiJUYpLyZGJTYjIiIpRikvJkYlNiMiIihGKS8mRiU2IyIiJ0YpLyZJImNHRiZGSSQiK3I0U2JHISM2LyZGUUZFJCIrNzlhdEJGVC8mRlFGNSQiK0Q2NTE8RlQvJkZRRjEkIis1ZTYlKSkpISM3LyZGUUYtJCIrTSUqKj5yIkZULyZGUUYnJCIrTj1wcEJGVC8mRlFGQSQiK15YJ0gmR0ZULyZGUUZNJCIrbkQoKio0JEZULyZGUUY9JCIrXmJIRSopRltvLyZGUUY5JCIrLVVrKjQkRlQ=</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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">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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="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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="Pi0mSSJ1RzYiNiMiIzY2I0kieUdGJiIiIQ==">IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L79" 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="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, 15200 characters]">[encoded data, 15160 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L54" 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)],axes=boxed,thickness=3,title=&quot;Figure Exp. 6.4.&quot;,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, 60304 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L55" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">M:=10;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTUc2IiIjNQ==">IiM1</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="PkkjVDFHNiI3LSQiIiFGJyQiKysrKys1ISM1JCIrKysrKz9GKiQiKysrKytJRiokIisrKysrU0YqJCIrKysrK11GKiQiKysrKytnRiokIisrKysrcUYqJCIrKysrKyEpRiokIisrKysrISpGKiQiIiJGJw==">Ny0kIiIhRiQkIisrKysrNSEjNSQiKysrKys/RickIisrKysrSUYnJCIrKysrK1NGJyQiKysrKytdRickIisrKysrZ0YnJCIrKysrK3FGJyQiKysrKyshKUYnJCIrKysrKyEqRickIiIiRiQ=</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="L71" 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="L82" 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="L72" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display({seq(P[i],i=1..M+1),seq(pt[j],j=1..M+1)},labels=[x,u]);</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, 22724 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,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="300" type="three-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0">[encoded data, 17080 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>