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<View-Properties presentation="false"></View-Properties>
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<Font name="Output Labels" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="8" subscript="false" superscript="false" underline="false" placeholder="false"/>
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<Layout name="Heading 4" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 5" alignment="left" bullet="ROMAN" firstindent="0" leftmargin="144" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 1" alignment="left" bullet="numeric" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Text Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Bullet Item" alignment="left" bullet="dot" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Left Justified Maple Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.5" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Help" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Author" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="8" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Diagnostic" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 2" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="2" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 3" alignment="left" bullet="roman" firstindent="0" leftmargin="72" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Maple Plot" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Normal" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Annotation Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Dash Item" alignment="left" bullet="dash" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 3" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 4" alignment="left" bullet="ALPHABETIC" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Maple Output" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.5" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="List Item" alignment="left" bullet="indent" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Line Printed Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Fixed Width" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Warning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Error" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 2" alignment="left" bullet="alphabetic" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
</Styles>
<Page-Numbers enabled="false" first-number="1" first-numbered-page="1" horizontal-location="right" style="Page Number" vertical-location="bottom"/>
<Task-table>
    <Task-category name="&lt;default&gt;">
    </Task-category>
</Task-table>
<Annotation-table>
    <Annotation-category name="&lt;default&gt;">
    </Annotation-category>
</Annotation-table>
<Task>
</Task>
<Group labelreference="L54" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Example 7.13  Heat Transfer with Nonhomogeneous Boundary Conditions</Text-field>
</Input>
</Group>
<Group labelreference="L53" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart:</Text-field>
</Input>
</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(v(x,y),y$2)=-diff(v(x,y),x$2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZXFHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInZHRiQ2JEkieEdGJEkieUdGJC1JIiRHRig2JEYuIiIjLCQtRic2JEYqLUYwNiRGLUYyISIi">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JInZHNiI2JEkieEdGK0kieUdGK0YuRi4sJC1GJDYkLUYkNiRGKUYtRi0hIiI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=v(x,y)=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMxRzYiLy1JInZHRiQ2JEkieEdGJEkieUdGJCIiIQ==">Ly1JInZHNiI2JEkieEdGJUkieUdGJSIiIQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=v(x,y)=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLy1JInZHRiQ2JEkieEdGJEkieUdGJCIiIQ==">Ly1JInZHNiI2JEkieEdGJUkieUdGJSIiIQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc3:=v(x,y)=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMzRzYiLy1JInZHRiQ2JEkieEdGJEkieUdGJCIiIQ==">Ly1JInZHNiI2JEkieEdGJUkieUdGJSIiIQ==</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="PkkkYmM0RzYiLy1JInVHRiQ2JEkieEdGJEkieUdGJCIiIg==">Ly1JInVHNiI2JEkieEdGJUkieUdGJSIiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq:=subs(v(x,y)=X(x)*Y(y),eq);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjRXFHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JComLUkiWEdGJDYjSSJ4R0YkIiIiLUkiWUdGJDYjSSJ5R0YkRi8tSSIkR0YoNiRGMyIiIywkLUYnNiRGKi1GNTYkRi5GNyEiIg==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JComLUkiWEc2IjYjSSJ4R0YsIiIiLUkiWUdGLDYjSSJ5R0YsRi9GM0YzLCQtRiQ2JC1GJDYkRilGLkYuISIi</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq:=expand(Eq/X(x)/Y(y));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjRXFHNiIvKiYtSSJZR0YkNiNJInlHRiQhIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkRictSSIkR0YuNiRGKiIiIyIiIiwkKiYtSSJYR0YkNiNJInhHRiRGKy1GLTYkRjctRjE2JEY6RjNGNEYr">LyomLUkiWUc2IjYjSSJ5R0YmISIiLUklZGlmZkclKnByb3RlY3RlZEc2JC1GKzYkRiRGKEYoIiIiLCQqJi1JIlhHRiY2I0kieEdGJkYpLUYrNiQtRis2JEYzRjZGNkYwRik=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_Y:=lhs(Eq)=lambda^2:</Text-field>
</Input>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_Y:=eval(Eq_Y*Y(y));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklRXFfWUc2Ii8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkiWUdGJDYjSSJ5R0YkLUkiJEdGKDYkRi0iIiMqJkYqIiIiKUknbGFtYmRhR0YkRjFGMw==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRiQ2JC1JIllHNiI2I0kieUdGK0YtRi0qJkYpIiIiSSdsYW1iZGFHRisiIiM=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dsolve(Eq_Y,Y(y));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ly1JIllHNiI2I0kieUdGJSwmKiZJJF9DMUdGJSIiIi1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjLCQqJkknbGFtYmRhR0YlRitGJ0YrISIiRitGKyomSSRfQzJHRiVGKy1GLTYjRjNGK0Yr</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L14" 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>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi1JIllHNiI2I0kieUdGJSwmKiYmSSJDR0YlNiMiIiJGLS1JJXNpbmhHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IyomSSdsYW1iZGFHRiVGLUYnRi1GLUYtKiYmRis2IyIiI0YtLUklY29zaEdGMEYzRi1GLQ==">LCYqJiZJIkNHNiI2IyIiIkYoLUklc2luaEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYjKiZJJ2xhbWJkYUdGJkYoSSJ5R0YmRihGKEYoKiYmRiU2IyIiI0YoLUklY29zaEdGK0YuRihGKA==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L15" 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="L16" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_Bc3:=eval(subs(y=0,Bc3));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknRXFfQmMzRzYiLyZJIkNHRiQ2IyIiIyIiIQ==">LyZJIkNHNiI2IyIiIyIiIQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">C[2]:=solve(Eq_Bc3);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJIkNHNiI2IyIiIyIiIQ==">IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L18" 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="L19" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_X:=rhs(Eq)=lambda^2:</Text-field>
</Input>
</Group>
<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_X:=expand(Eq_X*X(x));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklRXFfWEc2Ii8sJC1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJYR0YkNiNJInhHRiQtSSIkR0YpNiRGLiIiIyEiIiomRisiIiIpSSdsYW1iZGFHRiRGMkY1">LywkLUklZGlmZkclKnByb3RlY3RlZEc2JC1GJTYkLUkiWEc2IjYjSSJ4R0YsRi5GLiEiIiomRioiIiJJJ2xhbWJkYUdGLCIiIw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dsolve({Eq_X},X(x));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">PCMvLUkiWEc2IjYjSSJ4RzYiLCYqJkkkX0MxRzYiIiIiLUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMqJkknbGFtYmRhRzYiIiIiSSJ4RzYiIiIiIiIiIiIiKiZJJF9DMkc2IiIiIi1JJGNvc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjKiZJJ2xhbWJkYUc2IiIiIkkieEc2IiIiIiIiIiIiIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L22" 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>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi1JIlhHNiI2I0kieEdGJSwmKiYmSSJjR0YlNiMiIiJGLS1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjKiZJJ2xhbWJkYUdGJUYtRidGLUYtRi0qJiZGKzYjIiIjRi0tSSRjb3NHRjBGM0YtRi0=">LCYqJiZJImNHNiI2IyIiIkYoLUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YmNiMqJkknbGFtYmRhR0YmRihJInhHRiZGKEYoRigqJiZGJTYjIiIjRigtSSRjb3NHRitGLkYoRig=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L23" 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="L24" 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="L25" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq_Bc1:=eval(subs(x=0,Bc1));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknRXFfQmMxRzYiLyZJImNHRiQ2IyIiIyIiIQ==">LyZJImNHNiI2IyIiIyIiIQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L26" 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="L27" 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="L28" 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="L29" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">_EnvAllSolutions := true:</Text-field>
</Input>
</Group>
<Group labelreference="L30" 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="L31" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">V:=eval(X(x)*Y(y));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiVkc2IioqJkkiY0dGJDYjIiIiRiktSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2IyomSSdsYW1iZGFHRiRGKUkieEdGJEYpRikmSSJDR0YkRihGKS1JJXNpbmhHRiw2IyomRjFGKUkieUdGJEYpRik=">KiomSSJjRzYiNiMiIiJGJy1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjKiZJJ2xhbWJkYUdGJUYnSSJ4R0YlRidGJyZJIkNHRiVGJkYnLUklc2luaEdGKjYjKiZGL0YnSSJ5R0YlRidGJw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L32" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Vn:=subs(c[1]=A[n]/C[1],lambda=lambda[n],V):</Text-field>
</Input>
</Group>
<Group labelreference="L33" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">v(x,y):=Sum(Vn,n=1..infinity):</Text-field>
</Input>
</Group>
<Group labelreference="L34" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">v(x,y):=subs(lambda[n]=n*Pi,v(x,y));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi1JInZHNiI2JEkieEdGJUkieUdGJS1JJFN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYkKigmSSJBR0YlNiNJIm5HRiUiIiItSSRzaW5HRis2IyooRjNGNEkjUGlHRixGNEYnRjRGNC1JJXNpbmhHRis2IyooRjNGNEY5RjRGKEY0RjQvRjM7RjRJKWluZmluaXR5R0Ys">LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKCZJIkFHRic2I0kibkdGJyIiIi1JJHNpbkdGJDYjKihGLUYuSSNQaUdGJUYuSSJ4R0YnRi5GLi1JJXNpbmhHRiQ2IyooRi1GLkYzRi5JInlHRidGLkYuL0YtO0YuSSlpbmZpbml0eUdGJQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L35" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq_An:=eval(subs(y=1,v(x,y)))=rhs(bc4);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZXFfQW5HNiIvLUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YkNiQqKCZJIkFHRiQ2I0kibkdGJCIiIi1JJHNpbkdGKDYjKihGMEYxSSNQaUdGKUYxSSJ4R0YkRjFGMS1JJXNpbmhHRig2IyomRjBGMUY2RjFGMS9GMDtGMUkpaW5maW5pdHlHRilGMQ==">Ly1JJFN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKigmSSJBR0YoNiNJIm5HRigiIiItSSRzaW5HRiU2IyooRi5GL0kjUGlHRiZGL0kieEdGKEYvRi8tSSVzaW5oR0YlNiMqJkYuRi9GNEYvRi8vRi47Ri9JKWluZmluaXR5R0YmRi8=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L36" 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="L37" 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="L38" 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="L39" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">I2:=int(1*phi[n]*r(x),x=0..1):</Text-field>
</Input>
</Group>
<Group labelreference="L40" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">vars:={sin(n*Pi)=0}:</Text-field>
</Input>
</Group>
<Group labelreference="L41" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">I1:=subs(vars,I1):</Text-field>
</Input>
</Group>
<Group labelreference="L42" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">I2:=subs(vars,I2):</Text-field>
</Input>
</Group>
<Group labelreference="L43" 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="PiZJIkFHNiI2I0kibkdGJSooLUkqUElFQ0VXSVNFR0YlNiQ3JCIiIS9GJ0YtNyQsJCooLCYtSSRjb3NHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IyomRiciIiJJI1BpR0Y2RjpGOkY6ISIiRjpGJ0Y8RjtGPEY8SSpvdGhlcndpc2VHRiVGOi1GKjYkRiw3JCNGOiIiI0Y9RjwtSSVzaW5oR0Y1RjhGPA==">KigtSSpwaWVjZXdpc2VHJSpwcm90ZWN0ZWRHNiUvSSJuRzYiIiIhRiosJCooLCYtSSRjb3NHNiRGJUkoX3N5c2xpYkdGKTYjKiZGKCIiIkkjUGlHRiVGNEY0ISIiRjRGNEYoRjZGNUY2RjZGNC1GJDYlRidGKiNGNCIiI0Y2LUklc2luaEdGMEYyRjY=</Equation></Text-field>
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</Group>
<Group labelreference="L44" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">v(x,y):=eval(v(x,y));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pi1JInZHNiI2JEkieEdGJUkieUdGJS1JJFN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYkKiwtSSpQSUVDRVdJU0VHRiU2JDckIiIhL0kibkdGJUY0NyQsJCooLCYtSSRjb3NHRis2IyomRjYiIiJJI1BpR0YsRj9GP0Y/ISIiRj9GNkZBRkBGQUZBSSpvdGhlcndpc2VHRiVGPy1GMTYkRjM3JCNGPyIiI0ZCRkEtSSVzaW5oR0YrRj1GQS1JJHNpbkdGKzYjKihGNkY/RkBGP0YnRj9GPy1GSTYjKihGNkY/RkBGP0YoRj9GPy9GNjtGP0kpaW5maW5pdHlHRiw=">LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqLC1JKnBpZWNld2lzZUdGJTYlL0kibkdGJyIiIUYvLCQqKCwmLUkkY29zR0YkNiMqJkYuIiIiSSNQaUdGJUY3RjchIiJGN0Y3Ri5GOUY4RjlGOUY3LUYrNiVGLUYvI0Y3IiIjRjktSSVzaW5oR0YkRjVGOS1JJHNpbkdGJDYjKihGLkY3RjhGN0kieEdGJ0Y3RjctRj82IyooRi5GN0Y4RjdJInlHRidGN0Y3L0YuO0Y3SSlpbmZpbml0eUdGJQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L45" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">v(x,y):=subs(infinity=N,v(x,y)):</Text-field>
</Input>
</Group>
<Group labelreference="L46" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">va:=subs(N=20,v(x,y));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjdmFHNiItSSRTdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2JCosLUkqUElFQ0VXSVNFR0YkNiQ3JCIiIS9JIm5HRiRGMDckLCQqKCwmLUkkY29zR0YnNiMqJkYyIiIiSSNQaUdGKEY7RjtGOyEiIkY7RjJGPUY8Rj1GPUkqb3RoZXJ3aXNlR0YkRjstRi02JEYvNyQjRjsiIiNGPkY9LUklc2luaEdGJ0Y5Rj0tSSRzaW5HRic2IyooRjJGO0Y8RjtJInhHRiRGO0Y7LUZFNiMqKEYyRjtGPEY7SSJ5R0YkRjtGOy9GMjtGOyIjPw==">LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqLC1JKnBpZWNld2lzZUdGJTYlL0kibkdGJyIiIUYvLCQqKCwmLUkkY29zR0YkNiMqJkYuIiIiSSNQaUdGJUY3RjchIiJGN0Y3Ri5GOUY4RjlGOUY3LUYrNiVGLUYvI0Y3IiIjRjktSSVzaW5oR0YkRjVGOS1JJHNpbkdGJDYjKihGLkY3RjhGN0kieEdGJ0Y3RjctRj82IyooRi5GN0Y4RjdJInlHRidGN0Y3L0YuO0Y3IiM/</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L47" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">wa:=subs(x=Y,y=X,va):wa:=subs(X=x,Y=y,wa);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pkkjd2FHNiItSSRTdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2JCosLUkqUElFQ0VXSVNFR0YkNiQ3JCIiIS9JIm5HRiRGMDckLCQqKCwmLUkkY29zR0YnNiMqJkYyIiIiSSNQaUdGKEY7RjtGOyEiIkY7RjJGPUY8Rj1GPUkqb3RoZXJ3aXNlR0YkRjstRi02JEYvNyQjRjsiIiNGPkY9LUklc2luaEdGJ0Y5Rj0tSSRzaW5HRic2IyooRjJGO0Y8RjtJInlHRiRGO0Y7LUZFNiMqKEYyRjtGPEY7SSJ4R0YkRjtGOy9GMjtGOyIjPw==">LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqLC1JKnBpZWNld2lzZUdGJTYlL0kibkdGJyIiIUYvLCQqKCwmLUkkY29zR0YkNiMqJkYuIiIiSSNQaUdGJUY3RjchIiJGN0Y3Ri5GOUY4RjlGOUY3LUYrNiVGLUYvI0Y3IiIjRjktSSVzaW5oR0YkRjVGOS1JJHNpbkdGJDYjKihGLkY3RjhGN0kieUdGJ0Y3RjctRj82IyooRi5GN0Y4RjdJInhHRidGN0Y3L0YuO0Y3IiM/</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L48" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ua:=va+wa;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjdWFHNiIsJi1JJFN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYkKiwtSSpQSUVDRVdJU0VHRiQ2JDckIiIhL0kibkdGJEYxNyQsJCooLCYtSSRjb3NHRig2IyomRjMiIiJJI1BpR0YpRjxGPEY8ISIiRjxGM0Y+Rj1GPkY+SSpvdGhlcndpc2VHRiRGPC1GLjYkRjA3JCNGPCIiI0Y/Rj4tSSVzaW5oR0YoRjpGPi1JJHNpbkdGKDYjKihGM0Y8Rj1GPEkieEdGJEY8RjwtRkY2IyooRjNGPEY9RjxJInlHRiRGPEY8L0YzO0Y8IiM/RjwtRic2JCosRi1GPEZARj5GRUY+LUZIRk1GPC1GRkZJRjxGUEY8">LCYtSSRTdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCosLUkqcGllY2V3aXNlR0YmNiUvSSJuR0YoIiIhRjAsJCooLCYtSSRjb3NHRiU2IyomRi8iIiJJI1BpR0YmRjhGOCEiIkY4RjhGL0Y6RjlGOkY6RjgtRiw2JUYuRjAjRjgiIiNGOi1JJXNpbmhHRiVGNkY6LUkkc2luR0YlNiMqKEYvRjhGOUY4SSJ4R0YoRjhGOC1GQDYjKihGL0Y4RjlGOEkieUdGKEY4RjgvRi87RjgiIz9GOC1GJDYkKixGK0Y4RjtGOkY/RjotRkJGR0Y4LUZARkNGOEZKRjg=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L49" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot(subs(x=1,ua),y=0..1,thickness=3,title=&quot;Figure Exp. 7.30.&quot;,axes=boxed);</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, 10776 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L50" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">uu:=piecewise(x=1,1,y=1,1,ua);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjdXVHNiItSSpQSUVDRVdJU0VHRiQ2JTckIiIiL0kieEdGJEYpNyRGKS9JInlHRiRGKTckLCYtSSRTdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2JCosLUYmNiQ3JCIiIS9JIm5HRiRGOzckLCQqKCwmLUkkY29zR0YzNiMqJkY9RilJI1BpR0Y0RilGKUYpISIiRilGPUZHRkZGR0ZHSSpvdGhlcndpc2VHRiRGKS1GJjYkRjo3JCNGKSIiI0ZIRkctSSVzaW5oR0YzRkRGRy1JJHNpbkdGMzYjKihGPUYpRkZGKUYrRilGKS1GTzYjKihGPUYpRkZGKUYuRilGKS9GPTtGKSIjP0YpLUYyNiQqLEY4RilGSUZHRk5GRy1GUUZVRiktRk9GUkYpRldGKUZI">LUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYnL0kieEc2IiIiIkYpL0kieUdGKEYpRiksJi1JJFN1bUc2JEYkSShfc3lzbGliR0YoNiQqLC1GIzYlL0kibkdGKCIiIUY3LCQqKCwmLUkkY29zR0YvNiMqJkY2RilJI1BpR0YkRilGKSEiIkYpRilGNkZARj9GQEZARiktRiM2JUY1RjcjRikiIiNGQC1JJXNpbmhHRi9GPUZALUkkc2luR0YvNiMqKEY2RilGP0YpRidGKUYpLUZGNiMqKEY2RilGP0YpRitGKUYpL0Y2O0YpIiM/RiktRi42JCosRjNGKUZBRkBGRUZALUZIRkxGKS1GRkZJRilGTkYp</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L51" 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. 7.31.&quot;,labels=[x,y,&quot;u&quot;],orientation=[-120,60],view=[0..1,0..1,0..1]);</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, 13768 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L52" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot([subs(y=0,uu),subs(y=0.4,uu),subs(y=0.6,uu),subs(y=0.8,uu),subs(y=0.9,uu),subs(y=1,uu)],x=0..1,axes=boxed,title=&quot;Figure Exp. 7.32.&quot;,thickness=5,labels=[x,&quot;u&quot;],legend=[&quot;y=0&quot;,&quot;y=0.4&quot;,&quot;y=0.6&quot;,&quot;y=0.8&quot;,&quot;y=0.9&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, 19232 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L56" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRicvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group>
</Worksheet>