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<Group labelreference="L2" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;with(linalg):with(plots):</Text-field>
</Input>
</Group>
<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ge:=diff(u(x,y),y$2)=diff(u(x,y),y)-diff(u(x,y),x$2)-1/x*diff(u(x,y),x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZ2VHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHRiQ2JEkieEdGJEkieUdGJC1JIiRHRig2JEYuIiIjLCgtRic2JEYqRi4iIiItRic2JEYqLUYwNiRGLUYyISIiKiZGLUY7LUYnNiRGKkYtRjZGOw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JInVHNiI2JEkieEdGK0kieUdGK0YuRi4sKEYnIiIiLUYkNiQtRiQ2JEYpRi1GLSEiIiomRi1GNUYzRjBGNQ==</Equation></Text-field>
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</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Digits:=50;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknRGlnaXRzRzYiIiNd">IiNd</Equation></Text-field>
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</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=diff(u(x,y),x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMxRzYiLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHRiQ2JEkieEdGJEkieUdGJEYs">LUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHNiI2JEkieEdGKEkieUdGKEYq</Equation></Text-field>
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<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=u(x,y)-1;</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLCYtSSJ1R0YkNiRJInhHRiRJInlHRiQiIiJGKyEiIg==">LCYtSSJ1RzYiNiRJInhHRiVJInlHRiUiIiIhIiJGKQ==</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>
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</Group>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc4:=diff(u(x,y),y);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmM0RzYiLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHRiQ2JEkieEdGJEkieUdGJEYt">LUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHNiI2JEkieEdGKEkieUdGKEYr</Equation></Text-field>
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</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Pe:=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjUGVHNiIiIiI=">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L10" 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>
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</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">L:=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTEc2IiIiIg==">IiIi</Equation></Text-field>
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</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">H:=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiSEc2IiIiIg==">IiIi</Equation></Text-field>
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</Group>
<Group labelreference="L13" 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>
</Group>
<Group labelreference="L14" 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>
</Group>
<Group labelreference="L15" 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>
</Group>
<Group labelreference="L16" 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>
</Group>
<Group labelreference="L17" 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>
</Group>
<Group labelreference="L18" 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>
</Group>
<Group labelreference="L19" 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>
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</Group>
<Group labelreference="L20" 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="PiZJI2VxRzYiNiMiIiEsJCooIyIiIiIiI0YrSSJoR0YlISIiLCgtJkkidUdGJTYjRiw2I0klemV0YUdGJUYuKiYiIiRGKy0mRjJGJkY0RitGLiomIiIlRistJkYyNiNGK0Y0RitGK0YrRis=">LCQqJkkiaEc2IiEiIiwoLSZJInVHRiU2IyIiIzYjSSV6ZXRhR0YlRiYtJkYqNiMiIiFGLSEiJC0mRio2IyIiIkYtIiIlRjcjRjdGLA==</Equation></Text-field>
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<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[N+1]:=bc2; </Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzYsJi0mSSJ1R0YlRiY2I0klemV0YUdGJSIiIkYuISIi">LCYtJkkidUc2IjYjIiM2NiNJJXpldGFHRiYiIiIhIiJGKw==</Equation></Text-field>
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</Group>
<Group labelreference="L22" 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),diff(u(x,y),y)=epsilon/h*u[N+1+i](zeta),u(x,y)=u[i](zeta),x=i*h,rhs(h^2/epsilon^2*ge));od;</Text-field>
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<Output>
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<Output>
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<Output>
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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="PiZJI2VxRzYiNiMiI0AvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxKiYpSSJoR0YlIiIjIiIiLCgqJkY0ISIiRi1GNkY2KiZGM0Y5LCgtJkYvNiMiIipGMEY2KiZGNUY2LSZGLzYjIiM1RjBGNkY5LSZGLzYjIiM2RjBGNkY2RjkqKCNGNiIjP0Y2RjNGOSwmRkVGNkY8RjlGNkY5RjY=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiNANiNJJXpldGFHRipGLiomSSJoR0YqIiIjLCgqJkYwISIiRiciIiJGNSomRjAhIiMsKC0mRik2IyIiKkYtRjUtJkYpNiMiIzVGLUY3LSZGKTYjIiM2Ri1GNUY1RjQqJkYwRjcsJkZBRjVGOUY0RjUjRjQiIz9GNQ==</Equation></Text-field>
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<Group labelreference="L23" 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="Pi0mSSJ1RzYiNiMiIiE2I0klemV0YUdGJiwmKiYjIiIiIiIkRi4tJkYlNiMiIiNGKUYuISIiKiYjIiIlRi9GLi0mRiU2I0YuRilGLkYu">LCYtJkkidUc2IjYjIiIjNiNJJXpldGFHRiYjISIiIiIkLSZGJTYjIiIiRikjIiIlRi0=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L24" 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="Pi0mSSJ1RzYiNiMiIzY2I0klemV0YUdGJiIiIg==">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L25" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do eq[i]:=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>
</Output>
<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>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiYvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM7RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiImNiNJJXpldGFHRipGLi0mRik2IyIjO0Yt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIicvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM8RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiInNiNJJXpldGFHRipGLi0mRik2IyIjPEYt</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIigvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM9RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIoNiNJJXpldGFHRipGLi0mRik2IyIjPUYt</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIikvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM+RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIpNiNJJXpldGFHRipGLi0mRik2IyIjPkYt</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiovLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM/RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIqNiNJJXpldGFHRipGLi0mRik2IyIjP0Yt</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzUvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiNARjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM1NiNJJXpldGFHRipGLi0mRik2IyIjQEYt</Equation></Text-field>
</Output>
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<Group labelreference="L26" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">h:=L/(N+1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiaEc2IiMiIiIiIzY=">IyIiIiIjNg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L27" drawlabel="true">
<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>
</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>
</Output>
<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>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiYvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM7RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiImNiNJJXpldGFHRipGLi0mRik2IyIjO0Yt</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIicvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM8RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiInNiNJJXpldGFHRipGLi0mRik2IyIjPEYt</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIigvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM9RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIoNiNJJXpldGFHRipGLi0mRik2IyIjPUYt</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIikvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM+RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIpNiNJJXpldGFHRipGLi0mRik2IyIjPkYt</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiovLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLSZGLzYjIiM/RjA=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiIqNiNJJXpldGFHRipGLi0mRik2IyIjP0Yt</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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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzcvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCgqJiMiIiIiIzZGNUYtRjVGNSomIyIiJSIiJEY1LSZGLzYjIiIjRjBGNSEiIiomRjhGNS0mRi82I0Y1RjBGNUY1">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM3NiNJJXpldGFHRipGLiwoRicjIiIiIiM2LSZGKTYjIiIjRi0jISIlIiIkLSZGKTYjRjFGLSMiIiVGOQ==</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzkvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCoqJiMiIiIiIzZGNUYtRjVGNSomIyIiJiIiJ0Y1LSZGLzYjIiIjRjBGNSEiIiomRj5GNS0mRi82IyIiJEYwRjVGNSomIyIiKEY6RjUtJkYvNiMiIiVGMEY1Rj8=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM5NiNJJXpldGFHRipGLiwqRicjIiIiIiM2LSZGKTYjIiIjRi0jISImIiInLSZGKTYjIiIkRi1GNi0mRik2IyIiJUYtIyEiKEY5</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzovLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCoqJiMiIiIiIzZGNUYtRjVGNSomIyIiKCIiKUY1LSZGLzYjIiIkRjBGNSEiIiomIiIjRjUtJkYvNiMiIiVGMEY1RjUqJiMiIipGOkY1LSZGLzYjIiImRjBGNUY/">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM6NiNJJXpldGFHRipGLiwqRicjIiIiIiM2LSZGKTYjIiIkRi0jISIoIiIpLSZGKTYjIiIlRi0iIiMtJkYpNiMiIiZGLSMhIipGOQ==</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIzsvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCoqJiMiIiIiIzZGNUYtRjVGNSomIyIiKiIjNUY1LSZGLzYjIiIlRjBGNSEiIiomIiIjRjUtJkYvNiMiIiZGMEY1RjUqJiNGNkY6RjUtJkYvNiMiIidGMEY1Rj8=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM7NiNJJXpldGFHRipGLiwqRicjIiIiIiM2LSZGKTYjIiIlRi0jISIqIiM1LSZGKTYjIiImRi0iIiMtJkYpNiMiIidGLSMhIzZGOQ==</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIz0vLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ1R0YlRiY2I0klemV0YUdGJUYxLCoqJiMiIiIiIzZGNUYtRjVGNSomIyIjOCIjOUY1LSZGLzYjIiInRjBGNSEiIiomIiIjRjUtJkYvNiMiIihGMEY1RjUqJiMiIzpGOkY1LSZGLzYjIiIpRjBGNUY/">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkidUc2IjYjIiM9NiNJJXpldGFHRipGLiwqRicjIiIiIiM2LSZGKTYjIiInRi0jISM4IiM5LSZGKTYjIiIoRi0iIiMtJkYpNiMiIilGLSMhIzpGOQ==</Equation></Text-field>
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<Output>
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<Output>
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<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>
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</Group>
<Group labelreference="L29" 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="L30" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A:=genmatrix(eqns,Y,'b1'):</Text-field>
</Input>
</Group>
<Group labelreference="L31" 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="PkkiQUc2Ii1JJ21hdHJpeEdGJDYjNzY3NiQiIiFGK0YqRipGKkYqRipGKkYqRipGKiQiIiJGK0YqRipGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYsRipGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRixGKkYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGLEYqRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYsRipGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRixGKkYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGLEYqRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYsRipGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRixGKjc2RipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGKkYqRipGLDc2JCJTTExMTExMTExMTExMTExMTExMTExMTExMOCEjXCQhU0xMTExMTExMTExMTExMTExMTExMTExMTDhGOkYqRipGKkYqRipGKkYqRiokIlMiNDQ0NDQ0NDQ0NDQ0NDQ0NDQ0NDQ0NDQ0KiEjXkYqRipGKkYqRipGKkYqRipGKjc2JCFTKysrKysrKysrKysrKysrKysrKysrKysrdiEjXSQiIiNGKyQhUysrKysrKysrKysrKysrKysrKysrKysrXTdGOkYqRipGKkYqRipGKkYqRipGPUYqRipGKkYqRipGKkYqRio3NkYqJCFTTExMTExMTExMTExMTExMTExMTExMTExMJClGQ0ZEJCFTbm1tbW1tbW1tbW1tbW1tbW1tbW1tbW1tNkY6RipGKkYqRipGKkYqRipGKkY9RipGKkYqRipGKkYqRio3NkYqRiokIVMrKysrKysrKysrKysrKysrKysrKysrK10oKUZDRkQkIVMrKysrKysrKysrKysrKysrKysrKysrK0Q2RjpGKkYqRipGKkYqRipGKkYqRj1GKkYqRipGKkYqRio3NkYqRipGKiQhUysrKysrKysrKysrKysrKysrKysrKysrKyEqRkNGRCQhUysrKysrKysrKysrKysrKysrKysrKysrKzZGOkYqRipGKkYqRipGKkYqRipGPUYqRipGKkYqRio3NkYqRipGKkYqJCFTbm1tbW1tbW1tbW1tbW1tbW1tbW1tbW1tIipGQ0ZEJCFTTExMTExMTExMTExMTExMTExMTExMTEwkMyJGOkYqRipGKkYqRipGKkYqRipGPUYqRipGKkYqNzZGKkYqRipGKkYqJCFTVnImRzlkRzlkRzlkRzlkRzlkRzlkRzlkRypGQ0ZEJCFTJ0c5ZEc5ZEc5ZEc5ZEc5ZEc5ZEc5ZEc5MiJGOkYqRipGKkYqRipGKkYqRipGPUYqRipGKjc2RipGKkYqRipGKkYqJCFTKysrKysrKysrKysrKysrKysrKysrKyt2JCpGQ0ZEJCFTKysrKysrKysrKysrKysrKysrKysrK11pNUY6RipGKkYqRipGKkYqRipGKkY9RipGKjc2RipGKkYqRipGKkYqRiokIVNXV1dXV1dXV1dXV1dXV1dXV1dXV1dXV1clKkZDRkQkIVNjYmJiYmJiYmJiYmJiYmJiYmJiYmJiYmI1RjpGKkYqRipGKkYqRipGKkYqRj1GKjc2RipGKkYqRipGKkYqRipGKiQhUysrKysrKysrKysrKysrKysrKysrKysrKyYqRkNGREYqRipGKkYqRipGKkYqRipGKkY9">[encoded data, 5144 characters]</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L32" 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="LUknbWF0cml4RzYiNiM3NjcjIiIhRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnRidGJ0YnNyMjISNAIiM/">PTYiNiQ7IiIiIiM/O0YmRiZFXFtsNTYkIiIqRiYiIiE2JCIjOkYmRiw2JCIjNUYmRiw2JCIjOUYmRiw2JCIjPEYmRiw2JCIiJUYmRiw2JEYmRiZGLDYkIiM4RiZGLDYkRidGJiMhI0BGJzYkIiM2RiZGLDYkIiM9RiZGLDYkIiInRiZGLDYkIiM+RiZGLDYkIiIjRiZGLDYkIiM7RiZGLDYkIiIoRiZGLDYkIiIkRiZGLDYkIiM3RiZGLDYkIiImRiZGLDYkIiIpRiZGLA==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L33" 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="L34" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat:=evalm(exponential(A,zeta)):</Text-field>
</Input>
</Group>
<Group labelreference="L35" 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="L36" 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="L37" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat2:=evalm(mat1&amp;*b2):</Text-field>
</Input>
</Group>
<Group labelreference="L38" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">mat2:=map(expand,mat2):</Text-field>
</Input>
</Group>
<Group labelreference="L39" 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="L40" 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="L41" 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="L42" 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="L43" 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/O0YmRiZFXFtsNTYkIiIqRiYmSSJwR0YjNiNGKzYkIiM6RiYmSSJjR0YjNiMiIiY2JCIjNUYmJkYtNiNGNjYkIiM5RiYmRjI2IyIiJTYkIiM8RiYmRjI2IyIiKDYkRj1GJiZGLUY8NiRGJkYmJkYtNiNGJjYkIiM4RiYmRjI2IyIiJDYkRidGJiZGMkY4NiQiIzZGJiZGMkZHNiQiIz1GJiZGMjYjIiIpNiQiIidGJiZGLTYjRlg2JCIjPkYmJkYyRi42JCIiI0YmJkYtNiNGaW42JCIjO0YmJkYyRlo2JEZCRiYmRi1GQTYkRkxGJiZGLUZLNiQiIzdGJiZGMkZbbzYkRjRGJiZGLUYzNiRGVkYmJkYtRlU=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L44" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=evalm(mat&amp;*Y0+mat3):</Text-field>
</Input>
</Group>
<Group labelreference="L45" 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="L46" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol1:=map(eval,evalm(subs(zeta=epsilon*H/h,evalm(Y)))):</Text-field>
</Input>
</Group>
<Group labelreference="L47" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Eq[i]:=subs(diff(u(x,y),y)=epsilon/h*c[i],u(x,y)=p[i],x=i*h,bc3);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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="L48" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Eq[N+i]:=evalf(subs(diff(u(x,y),y)=epsilon/h*sol1[N+i,1],u(x,y)=sol1[i,1],bc4));od;</Text-field>
</Input>
<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="PiZJI0VxRzYiNiMiIzksTComJCJTdidcIzQvPlktKVtoP0oleUprUngmXDxMKTMzXSEjUyIiIiZJInBHRiU2IyIiI0YtRi0qJiQiUydRL0hyO0AoM15zRCEqKXlgPXQqKSopSCFHRGdCKSlGLEYtJkYvNiMiIiRGLSEiIiomJCJTMTMhNGxsMkB5UlAtZ1oiSEJxIypRJT5EVkc4IiEjUkYtJkYvNiMiIiVGLUYtKiYkIlNxc2FQKFFnKUcsPjBFcihlJ2VVYU1DKyZwKGU2RjxGLSZGLzYjIiImRi1GOComJCJTbmsjemJ3M0RtTFZYZGkvSmpWOmcieTQkUXEqRixGLSZGLzYjIiInRi1GLSomJCJTSjsvZDU0RVVoLUdPIzRCKD0xIjM+KXB2WkhuRixGLSZGLzYjIiIoRi1GOComJCJTaENDOXZWUEhHZTglejVMJHpfZyEqUXMmXC0qUUYsRi0mRi82IyIiKUYtRi0qJiQiUzt3Olc1ZjRgUDJ4STcoUiNmJSkqKT4kKlt3d3Q9RixGLSZGLzYjIiIqRi1GOComJCJTKlx3dClIY0YxOzcvOiIpb2ArNDpebV4pRy4tKCEjVEYtJkYvNiMiIzVGLUYtKiYkIlMqKiozRXFAMDw2KXlOcClwLkAlcFIlKT4+RCJSaChGW29GLSZJImNHRiU2I0YtRi1GOComJCJTJEhXXUMoW24qejUiKj50Yj47L3QhMyIqKnlfZGcjRixGLSZGY29GMEYtRi0qJiQiUykpKVJYWyVSWTZnKkd3P2dVPSZRKj4wbmNsW2glRixGLSZGY29GNkYtRjgqJiQiU2BkTShRWTZuPkw5MkAoKVJTNlI7bidHd2pLZkYsRi0mRmNvRj5GLUYtKiYkIlNDOzp3cmFrcCpHUSZwIVsvU3lxXXY/bzReLidGLEYtJkZjb0ZERi1GOComJCJTZDdbVjZLV24yS3BCOW9jX29ea1hvIz1rKVxGLEYtJkZjb0ZKRi1GLSomJCJTd0MwJCopKm8jKjM5JSlcRDAvcHgveiNvVyI0QSZRJEYsRi0mRmNvRlBGLUY4KiYkIlNRKnpxJj1ZYmZ0JHpaXj9XQjUoKkhXI3A8bC0+RixGLSZGY29GVkYtRi0qJiQiUzpLVlxjbFdEJjReOjlEYm95a3Q8eD9rcycpKUZbb0YtJkZjb0ZmbkYtRjgqJiQiU1cwKCk9dyU+Ij4reFswLUY5OCVceFUmPWkkKj1LRltvRi0mRmNvRl1vRi1GLSQiU1QieUkqPlN4JCpvakJ1JG9FJXomPWonPTwlcEdaIkZbb0Y4KiYkIlNyRlNdJFssSiMpNHc9JFtbJ0goXGArKGZmLzNaIkYsRi0mRi9GZG9GLUY4">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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>
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<Output>
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</Output>
<Output>
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</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIz4sTComJCJSbip6bmlKPG0heXNCNjJEZUE/Q3AmXHNVOnkhI1QiIiImSSJwR0YlNiMiIiNGLSEiIiomJCJTNTk8OFYleTdPXChSJVE2cillRV12IT45OD8mR0YsRi0mRi82IyIiJEYtRi0qJiQiUzdYJGVVIz0pZkJzWmMtaChHalU1Ylo8aSZ5SylGLEYtJkYvNiMiIiVGLUYyKiYkIlMvbXphUyV6L1VJXid6J3oxXSgpSHpcW29CMysjISNTRi0mRi82IyIiJkYtRi0qJiQiU2wvLFA1ViVSMUBdMzQkWyJwUyg0UiUqcFNgaFJGQkYtJkYvNiMiIidGLUYyKiYkIlNJKSplLFptRS0tRnZkJnp5dm0xYS5pOW0pPWtGQkYtJkYvNiMiIihGLUYtKiYkIlNvY2VoIypmPSJlXllaJDQ+VSFIWzldKmZfdWAkKUZCRi0mRi82IyIiKUYtRjIqJiQiUzZXeXJzKFJZIWVReUg+ekk5PlRsZjpLNEAkKUZCRi0mRi82IyIiKkYtRi0qJiQiU1VYNFZYLGouXWMrK14pcHo0TjlyQ1gieXhgRkJGLSZGLzYjIiM1Ri1GMiomJCJSYiVHTkkhUiVbbyV5YTRyeDFoOyQ0PVJ6XnhkISNVRi0mSSJjR0YlNiNGLUYtRi0qJiQiU3BfaCUqWyIpPjImUiRcM187Km9IXFAjKmZbYjlUJEZhb0YtJkZjb0YwRi1GMiomJCJTJyllcFRDRjBpKGVTIVwzKWUnNCp6LiQ0OidHc0giRixGLSZGY29GN0YtRi0qJiQiU2ByNnAhZTQ4LCNROCZHQSJcRkA7N2E5aitUUkYsRi0mRmNvRj1GLUYyKiYkIlN3UU13SFhOYCMzZT00IUhJKCpRJTM8TClcZDYpKkYsRi0mRmNvRkRGLUYtKiYkIlM0IlEjeSJwQSw+KVwwc1tDS3dvamlMekEkRysjRkJGLSZGY29GSkYtRjIqJiQiUykpPSJwb2s4XXMsTCpHSjxUUmp5QTwjKmVaRUxGQkYtJkZjb0ZQRi1GLSomJCJTV10jPmp1QTt6LTwoRylmUlJAdCJHP3klMzJUJUZCRi0mRmNvRlZGLUYyKiYkIlMvSU4iSCFmeTNyQG0kKilIY3JaakNpWCF5alxXRkJGLSZGY29GZm5GLUYtKiYkIlM3b1hkYkIiZkFaVyJ5TXFZT0g+ZmpHTWsnKkdGQkYtJkZjb0Zcb0YtRjIqJiQiU208NCUpeTM1MidcJzRJRUF0V2Q5Xj5fODlxOEZhb0YtJkYvRmRvRi1GLSQiUzNpTV9zPyV6WVIsJjM9YCYpXF9nZUMtXEprOkZCRi0=">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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="L49" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">csol:=solve({seq(Eq[i],i=1..2*N)},{seq(c[i],i=1..N),seq(p[i],i=1..N)});</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L50" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">assign(csol);</Text-field>
</Input>
</Group>
<Group labelreference="L51" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y:=map(eval,Y):</Text-field>
</Input>
</Group>
<Group labelreference="L52" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N do u[i](zeta):=eval((Y[i,1]));od:</Text-field>
</Input>
</Group>
<Group labelreference="L53" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do u[i](zeta):=eval(u[i](zeta));od:</Text-field>
</Input>
</Group>
<Group labelreference="L54" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do u[i](y):=eval(subs(zeta=epsilon*y/h,u[i](zeta)));od:</Text-field>
</Input>
</Group>
<Group labelreference="L55" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 0 to N+1 do p[i]:=plot(u[i](y),y=0..H,thickness=3);od:</Text-field>
</Input>
</Group>
<Group labelreference="L56" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display({seq(p[i],i=0..N+1)},axes=boxed,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, 25324 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L57" 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="L58" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">T1:=[seq(evalf(i*H/M),i=0..M)]:</Text-field>
</Input>
</Group>
<Group labelreference="L59" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">P[1]:=plot([seq([h*i,0.],i=0..N+1)],style=line,thickness=3,axes=boxed,view=[0..1,0..1.1]):</Text-field>
</Input>
</Group>
<Group labelreference="L60" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for j from 2 to M+1 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="L61" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display({seq(P[i],i=1..M+1)},labels=[x,u]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="300" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">[encoded data, 13360 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L62" 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="L63" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">PP:=matrix(N+2,Ny);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjUFBHNiItSSZhcnJheUclKnByb3RlY3RlZEc2JTsiIiIiIzc7RioiI0k3Ig==">PTYiNiQ7IiIiIiM3O0YmIiNJRVxbbCE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L64" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i from 1 to N+2 do for j from 1 to Ny do PP[i,j]:=evalf(subs(y=(j-1)*H/(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">PP[N+2,1]:=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI1BQRzYiNiQiIzciIiIiIiE=">IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L66" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotdata := [seq([ seq([(i-1)/(N+1),(j-1)*H/(Ny-1),PP[i,j]], i=1..N+2)], j=1..Ny)]:</Text-field>
</Input>
</Group>
<Group labelreference="L67" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">surfdata( plotdata, axes=boxed, labels=[x,y,u],orientation=[-150,45] );</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, 45012 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>