<?xml version="1.0" encoding="UTF-8"?>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart:</Text-field>
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</Group>
<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(plots):</Text-field>
</Input>
</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq:=diff(u(x,y),y$2)=-diff(u(x,y),x$2)-1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZXFHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHRiQ2JEkieEdGJEkieUdGJC1JIiRHRig2JEYuIiIjLCYtRic2JEYqLUYwNiRGLUYyISIiIiIiRjg=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JInVHNiI2JEkieEdGK0kieUdGK0YuRi4sJi1GJDYkLUYkNiRGKUYtRi0hIiJGNCIiIg==</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="PkkkYmMxRzYiLy1JInVHRiQ2JEkieEdGJEkieUdGJCIiIQ==">Ly1JInVHNiI2JEkieEdGJUkieUdGJSIiIQ==</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="PkkkYmMyRzYiLy1JInVHRiQ2JEkieEdGJEkieUdGJCIiIQ==">Ly1JInVHNiI2JEkieEdGJUkieUdGJSIiIQ==</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="PkkkYmMzRzYiLy1JInVHRiQ2JEkieEdGJEkieUdGJCIiIQ==">Ly1JInVHNiI2JEkieEdGJUkieUdGJSIiIQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc4:=u(x,y)=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmM0RzYiLy1JInVHRiQ2JEkieEdGJEkieUdGJCIiIQ==">Ly1JInVHNiI2JEkieEdGJUkieUdGJSIiIQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq:=expand(subs(u(x,y)=g(x,y)+w(x),eq));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZXFHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JImdHRiQ2JEkieEdGJEkieUdGJC1JIiRHRig2JEYuIiIjLCgtRic2JEYqLUYwNiRGLUYyISIiLUYnNiQtSSJ3R0YkNiNGLUY2RjgiIiJGOA==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JImdHNiI2JEkieEdGK0kieUdGK0YuRi4sKC1GJDYkLUYkNiRGKUYtRi0hIiItRiQ2JC1GJDYkLUkid0dGKzYjRi1GLUYtRjRGNCIiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq_w:=diff(w(x),`$`(x,2))+1=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklZXFfd0c2Ii8sJi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJ3R0YkNiNJInhHRiQtSSIkR0YpNiRGLiIiIyIiIkYzRjMiIiE=">LywmLUklZGlmZkclKnByb3RlY3RlZEc2JC1GJTYkLUkid0c2IjYjSSJ4R0YsRi5GLiIiIkYvRi8iIiE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">w(x):=rhs(dsolve({eq_w,w(0)=0,w(1)=0},w(x)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi1JIndHNiI2I0kieEdGJSwmKiYjIiIiIiIjRispRidGLEYrISIiKiZGKkYrRidGK0Yr">LCYqJEkieEc2IiIiIyMhIiJGJkYkIyIiIkYm</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eqg:=diff(g(x,y),`$`(y,2)) = -diff(g(x,y),`$`(x,2));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkZXFnRzYiLy1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJnR0YkNiRJInhHRiRJInlHRiQtSSIkR0YoNiRGLiIiIywkLUYnNiRGKi1GMDYkRi1GMiEiIg==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JImdHNiI2JEkieEdGK0kieUdGK0YuRi4sJC1GJDYkLUYkNiRGKUYtRi0hIiI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq:=subs(g(x,y)=X(x)*Y(y),eqg):</Text-field>
</Input>
</Group>
<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq:=expand(Eq/X(x)/Y(y)):</Text-field>
</Input>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_Y:=lhs(Eq)=lambda^2:</Text-field>
</Input>
</Group>
<Group labelreference="L16" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_Y:=eval(Eq_Y*Y(y)):</Text-field>
</Input>
</Group>
<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dsolve(Eq_Y,Y(y)):</Text-field>
</Input>
</Group>
<Group labelreference="L18" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y(y):=C[1]*sinh(lambda*y)+C[2]*cosh(lambda*y):</Text-field>
</Input>
</Group>
<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Bc3:=Y(y)=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkQmMzRzYiLywmKiYmSSJDR0YkNiMiIiJGKy1JJXNpbmhHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2IyomSSdsYW1iZGFHRiRGK0kieUdGJEYrRitGKyomJkYpNiMiIiNGKy1JJWNvc2hHRi5GMUYrRisiIiE=">LywmKiYmSSJDRzYiNiMiIiJGKS1JJXNpbmhHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRic2IyomSSdsYW1iZGFHRidGKUkieUdGJ0YpRilGKSomJkYmNiMiIiNGKS1JJWNvc2hHRixGL0YpRikiIiE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_Bc3:=eval(subs(y=0,Bc3)):</Text-field>
</Input>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">C[2]:=solve(Eq_Bc3):</Text-field>
</Input>
</Group>
<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Y(y):=eval(Y(y));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi1JIllHNiI2I0kieUdGJSomJkkiQ0dGJTYjIiIiRiwtSSVzaW5oRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiMqJkknbGFtYmRhR0YlRixGJ0YsRiw=">KiYmSSJDRzYiNiMiIiJGJy1JJXNpbmhHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IyomSSdsYW1iZGFHRiVGJ0kieUdGJUYnRic=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L23" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_X:=rhs(Eq)=lambda^2:</Text-field>
</Input>
</Group>
<Group labelreference="L24" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_X:=expand(Eq_X*X(x)):</Text-field>
</Input>
</Group>
<Group labelreference="L25" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dsolve({Eq_X},X(x)):</Text-field>
</Input>
</Group>
<Group labelreference="L26" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">X(x):=c[1]*sin(lambda*x)+c[2]*cos(lambda*x):</Text-field>
</Input>
</Group>
<Group labelreference="L27" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Bc1:=X(x)=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkQmMxRzYiLywmKiYmSSJjR0YkNiMiIiJGKy1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjKiZJJ2xhbWJkYUdGJEYrSSJ4R0YkRitGK0YrKiYmRik2IyIiI0YrLUkkY29zR0YuRjFGK0YrIiIh">LywmKiYmSSJjRzYiNiMiIiJGKS1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJzYjKiZJJ2xhbWJkYUdGJ0YpSSJ4R0YnRilGKUYpKiYmRiY2IyIiI0YpLUkkY29zR0YsRi9GKUYpIiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L28" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Bc2:=X(x)=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkQmMyRzYiLywmKiYmSSJjR0YkNiMiIiJGKy1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjKiZJJ2xhbWJkYUdGJEYrSSJ4R0YkRitGK0YrKiYmRik2IyIiI0YrLUkkY29zR0YuRjFGK0YrIiIh">LywmKiYmSSJjRzYiNiMiIiJGKS1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJzYjKiZJJ2xhbWJkYUdGJ0YpSSJ4R0YnRilGKUYpKiYmRiY2IyIiI0YpLUkkY29zR0YsRi9GKUYpIiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L29" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_Bc1:=eval(subs(x=0,Bc1)):</Text-field>
</Input>
</Group>
<Group labelreference="L30" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">c[2]:=solve(Eq_Bc1,c[2]);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJImNHNiI2IyIiIyIiIQ==">IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L31" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_Bc2:=eval(subs(x=1,Bc2));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknRXFfQmMyRzYiLyomJkkiY0dGJDYjIiIiRiotSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2I0knbGFtYmRhR0YkRioiIiE=">LyomJkkiY0c2IjYjIiIiRigtSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2I0knbGFtYmRhR0YmRigiIiE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L32" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_Eig:=sin(lambda)=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknRXFfRWlnRzYiLy1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjSSdsYW1iZGFHRiQiIiE=">Ly1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdsYW1iZGFHRigiIiE=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L33" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">_EnvAllSolutions := true:</Text-field>
</Input>
</Group>
<Group labelreference="L34" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">solve(Eq_Eig,lambda);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnJiM5NjA7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1GLDYlUSVfWjF8aXJGJy9GMFEldHJ1ZUYnL0YzUSdpdGFsaWNGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRidGMg==">KiZJI1BpRyUqcHJvdGVjdGVkRyIiIkklX1oxfGlyRzYiRiU=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L35" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">G:=eval(X(x)*Y(y));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiR0c2IioqJkkiY0dGJDYjIiIiRiktSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2IyomSSdsYW1iZGFHRiRGKUkieEdGJEYpRikmSSJDR0YkRihGKS1JJXNpbmhHRiw2IyomRjFGKUkieUdGJEYpRik=">KiomSSJjRzYiNiMiIiJGJy1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjKiZJJ2xhbWJkYUdGJUYnSSJ4R0YlRidGJyZJIkNHRiVGJkYnLUklc2luaEdGKjYjKiZGL0YnSSJ5R0YlRidGJw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L36" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Gn:=subs(c[1]=A[n]/C[1],lambda=lambda[n],G):</Text-field>
</Input>
</Group>
<Group labelreference="L37" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u(x,y):=Sum(Gn,n=1..infinity)+w(x):</Text-field>
</Input>
</Group>
<Group labelreference="L38" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u(x,y):=subs(lambda[n]=n*Pi,u(x,y));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi1JInVHNiI2JEkieEdGJUkieUdGJSwoLUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqKCZJIkFHRiU2I0kibkdGJSIiIi1JJHNpbkdGLDYjKihGNEY1SSNQaUdGLUY1RidGNUY1LUklc2luaEdGLDYjKihGNEY1RjpGNUYoRjVGNS9GNDtGNUkpaW5maW5pdHlHRi1GNSomI0Y1IiIjRjUpRidGREY1ISIiKiZGQ0Y1RidGNUY1">LCgtSSRTdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCooJkkiQUdGKDYjSSJuR0YoIiIiLUkkc2luR0YlNiMqKEYuRi9JI1BpR0YmRi9JInhHRihGL0YvLUklc2luaEdGJTYjKihGLkYvRjRGL0kieUdGKEYvRi8vRi47Ri9JKWluZmluaXR5R0YmRi8qJEY1IiIjIyEiIkY/RjUjRi9GPw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L39" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq_An:=eval(subs(y=1,u(x,y)))=rhs(bc4);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZXFfQW5HNiIvLCgtSSRTdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2JCooJkkiQUdGJDYjSSJuR0YkIiIiLUkkc2luR0YpNiMqKEYxRjJJI1BpR0YqRjJJInhHRiRGMkYyLUklc2luaEdGKTYjKiZGMUYyRjdGMkYyL0YxO0YySSlpbmZpbml0eUdGKkYyKiYjRjIiIiNGMilGOEZCRjIhIiIqJkZBRjJGOEYyRjIiIiE=">LywoLUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKCZJIkFHRik2I0kibkdGKSIiIi1JJHNpbkdGJjYjKihGL0YwSSNQaUdGJ0YwSSJ4R0YpRjBGMC1JJXNpbmhHRiY2IyomRi9GMEY1RjBGMC9GLztGMEkpaW5maW5pdHlHRidGMCokRjYiIiMjISIiRj9GNiNGMEY/IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L40" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">phi[n]:=sin(n*Pi*x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJJHBoaUc2IjYjSSJuR0YlLUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiMqKEYnIiIiSSNQaUdGK0YvSSJ4R0YlRi8=">LUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMqKEkibkdGJyIiIkkjUGlHRiVGK0kieEdGJ0Yr</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L41" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">r(x):=1;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi1JInJHNiI2I0kieEdGJSIiIg==">IiIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L42" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">I1:=int(phi[n]^2*r(x),x=0..1):</Text-field>
</Input>
</Group>
<Group labelreference="L43" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">I2:=int((0-w(x))*phi[n]*r(x),x=0..1):</Text-field>
</Input>
</Group>
<Group labelreference="L44" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">vars:={sin(n*Pi)=0}:</Text-field>
</Input>
</Group>
<Group labelreference="L45" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">I1:=subs(vars,I1):</Text-field>
</Input>
</Group>
<Group labelreference="L46" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">I2:=subs(vars,I2):</Text-field>
</Input>
</Group>
<Group labelreference="L47" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A[n]:=I2/I1/sinh(n*Pi);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJIkFHNiI2I0kibkdGJSooLUkqUElFQ0VXSVNFR0YlNiQ3JCIiIS9GJ0YtNyQsJCoqIyIiIiIiI0YzLCZGNCEiIiomRjRGMy1JJGNvc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjKiZGJ0YzSSNQaUdGO0YzRjNGM0YzKUYnIiIkRjYpRj9GQUY2RjNJKm90aGVyd2lzZUdGJUYzLUYqNiRGLDckRjJGQ0Y2LUklc2luaEdGOkY9RjY=">KigtSSpwaWVjZXdpc2VHJSpwcm90ZWN0ZWRHNiUvSSJuRzYiIiIhRiosJCooLCYhIiMiIiItSSRjb3NHNiRGJUkoX3N5c2xpYkdGKTYjKiZGKEYvSSNQaUdGJUYvIiIjRi9GKCEiJEY2RjgjRi9GN0YvLUYkNiVGJ0YqRjkhIiItSSVzaW5oR0YyRjRGPA==</Equation></Text-field>
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<Group labelreference="L48" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u(x,y):=eval(u(x,y));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi1JInVHNiI2JEkieEdGJUkieUdGJSwoLUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQqLC1JKlBJRUNFV0lTRUdGJTYkNyQiIiEvSSJuR0YlRjU3JCwkKiojIiIiIiIjRjwsJkY9ISIiKiZGPUY8LUkkY29zR0YsNiMqJkY3RjxJI1BpR0YtRjxGPEY8RjwpRjciIiRGPylGRUZHRj9GPEkqb3RoZXJ3aXNlR0YlRjwtRjI2JEY0NyRGO0ZJRj8tSSVzaW5oR0YsRkNGPy1JJHNpbkdGLDYjKihGN0Y8RkVGPEYnRjxGPC1GTjYjKihGN0Y8RkVGPEYoRjxGPC9GNztGPEkpaW5maW5pdHlHRi1GPComRjtGPClGJ0Y9RjxGPyomRjtGPEYnRjxGPA==">LCgtSSRTdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCosLUkqcGllY2V3aXNlR0YmNiUvSSJuR0YoIiIhRjAsJCooLCYhIiMiIiItSSRjb3NHRiU2IyomRi9GNUkjUGlHRiZGNSIiI0Y1Ri8hIiRGOkY8I0Y1RjtGNS1GLDYlRi5GMEY9ISIiLUklc2luaEdGJUY4RkAtSSRzaW5HRiU2IyooRi9GNUY6RjVJInhHRihGNUY1LUZCNiMqKEYvRjVGOkY1SSJ5R0YoRjVGNS9GLztGNUkpaW5maW5pdHlHRiZGNSokRkdGOyNGQEY7RkdGPQ==</Equation></Text-field>
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<Group labelreference="L49" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">u(x,y):=subs(infinity=N,u(x,y)):</Text-field>
</Input>
</Group>
<Group labelreference="L50" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ua:=subs(N=20,u(x,y)):</Text-field>
</Input>
</Group>
<Group labelreference="L51" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">uu:=piecewise(y&lt;0.9999,ua,y&gt;0.9999,0);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjdXVHNiItSSpQSUVDRVdJU0VHRiQ2JDckLCgtSSRTdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2JCosLUYmNiQ3JCIiIS9JIm5HRiRGNDckLCQqKiMiIiIiIiNGOywmRjwhIiIqJkY8RjstSSRjb3NHRiw2IyomRjZGO0kjUGlHRi1GO0Y7RjtGOylGNiIiJEY+KUZERkZGPkY7SSpvdGhlcndpc2VHRiRGOy1GJjYkRjM3JEY6RkhGPi1JJXNpbmhHRixGQkY+LUkkc2luR0YsNiMqKEY2RjtGREY7SSJ4R0YkRjtGOy1GTTYjKihGNkY7RkRGO0kieUdGJEY7RjsvRjY7RjsiIz9GOyomRjpGOylGUkY8RjtGPiomRjpGO0ZSRjtGOzJGViQiJSoqKiohIiU3JEY0MkZobkZW">LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYmMkkieUc2IiQiJSoqKiohIiUsKC1JJFN1bUc2JEYkSShfc3lzbGliR0YoNiQqLC1GIzYlL0kibkdGKCIiIUY3LCQqKCwmISIjIiIiLUkkY29zR0YvNiMqJkY2RjxJI1BpR0YkRjwiIiNGPEY2ISIkRkFGQyNGPEZCRjwtRiM2JUY1RjdGRCEiIi1JJXNpbmhHRi9GP0ZHLUkkc2luR0YvNiMqKEY2RjxGQUY8SSJ4R0YoRjxGPC1GSTYjKihGNkY8RkFGPEYnRjxGPC9GNjtGPCIjP0Y8KiRGTkZCI0ZHRkJGTkZEMkYpRidGNw==</Equation></Text-field>
</Output>
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<Group labelreference="L52" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot3d(evalf(uu),x=0..1,y=1..0,axes=boxed,title=&quot;Figure Exp. 7.33.&quot;,labels=[x,y,&quot;u&quot;],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, 13692 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L53" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot([subs(y=0,uu),subs(y=0.6,uu),subs(y=0.8,uu),subs(y=0.9,uu),subs(y=0.95,uu),subs(y=1,uu)],x=0..1,axes=boxed,title=&quot;Figure Exp. 7.34.&quot;,thickness=5,labels=[x,&quot;u&quot;],legend=[&quot;y=0&quot;,&quot;y=0.6&quot;,&quot;y=0.8&quot;,&quot;y=0.9&quot;,&quot;y=0.95&quot;,&quot;y=1.0&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="true">[encoded data, 13536 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L56" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>