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<Group labelreference="L41" drawlabel="true">
<Input>
<Text-field style="Heading 3" italic="false" layout="Heading 3"><Font italic="false">Example 3.8b  Cylindrical Catalyst Pellet</Font></Text-field>
</Input>
</Group>
<Group labelreference="L42" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart:</Text-field>
</Input>
</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(linalg):with(plots):</Text-field>
</Input>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">N:=10;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkiTkc2IiIjNQ==">IiM1</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L6" 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>
</Output>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq:=diff(y(x),x$2)+1/x*diff(y(x),x)-phi^2*y(x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkjZXFHNiIsKC1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJ5R0YkNiNJInhHRiQtSSIkR0YoNiRGLSIiIyIiIiomRi0hIiItRic2JEYqRi1GMkYyKiYpSSRwaGlHRiRGMUYyRipGMkY0">LCgtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUYkNiQtSSJ5RzYiNiNJInhHRitGLUYtIiIiKiZGLSEiIkYnRi5GLiomSSRwaGlHRisiIiNGKUYuRjA=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc1:=diff(y(x),x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMxRzYiLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInlHRiQ2I0kieEdGJEYs">LUklZGlmZkclKnByb3RlY3RlZEc2JC1JInlHNiI2I0kieEdGKEYq</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bc2:=diff(y(x),x)-1+y(x);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmMyRzYiLCgtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkieUdGJDYjSSJ4R0YkRi0iIiJGLiEiIkYqRi4=">LCgtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkieUc2IjYjSSJ4R0YpRisiIiIhIiJGLEYnRiw=</Equation></Text-field>
</Output>
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<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"> The central difference expression for the second and first derivatives are</Text-field>
</Input>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">d2ydx2:=(y[m+1]-2*y[m]+y[m-1])/h^2;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkknZDJ5ZHgyRzYiKiYsKCZJInlHRiQ2IywmSSJtR0YkIiIiRixGLEYsKiYiIiNGLCZGKDYjRitGLCEiIiZGKDYjLCZGK0YsRixGMUYsRiwpSSJoR0YkRi5GMQ==">KiYsKCZJInlHNiI2IywmSSJtR0YmIiIiRipGKkYqJkYlNiNGKSEiIyZGJTYjLCZGKUYqISIiRipGKkYqSSJoR0YmRi0=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydx:=(y[m+1]-y[m-1])/2/h;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklZHlkeEc2IiwkKigjIiIiIiIjRigsJiZJInlHRiQ2IywmSSJtR0YkRihGKEYoRigmRiw2IywmRi9GKEYoISIiRjNGKEkiaEdGJEYzRig=">LCQqJiwmJkkieUc2IjYjLCZJIm1HRiciIiJGK0YrRismRiY2IywmRipGKyEiIkYrRi9GK0kiaEdGJ0YvI0YrIiIj</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal">The three point forward and backward difference expressions for the derivative are:</Text-field>
</Input>
</Group>
<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxf:=(-y[2]+4*y[1]-3*y[0])/(2*h);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZHlkeGZHNiIsJCooIyIiIiIiI0YoLCgmSSJ5R0YkNiNGKSEiIiomIiIlRigmRiw2I0YoRihGKComIiIkRigmRiw2IyIiIUYoRi5GKEkiaEdGJEYuRig=">LCQqJiwoJkkieUc2IjYjIiIjISIiJkYmNiMiIiIiIiUmRiY2IyIiISEiJEYtSSJoR0YnRiojRi1GKQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dydxb:=(y[N-1]-4*y[N]+3*y[N+1])/(2*h);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkmZHlkeGJHNiIsJCooIyIiIiIiI0YoLCgmSSJ5R0YkNiMiIipGKComIiIlRigmRiw2IyIjNUYoISIiKiYiIiRGKCZGLDYjIiM2RihGKEYoSSJoR0YkRjRGKA==">LCQqJiwoJkkieUc2IjYjIiIqIiIiJkYmNiMiIzUhIiUmRiY2IyIjNiIiJEYqSSJoR0YnISIiI0YqIiIj</Equation></Text-field>
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<Group labelreference="L16" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"> The governing equation in finite difference form is:</Text-field>
</Input>
</Group>
<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq[m]:=subs(diff(y(x),x$2)=d2ydx2,diff(y(x),x)=dydx,y(x)=y[m],x=m*h,eq);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiNJIm1HRiUsKComLCgmSSJ5R0YlNiMsJkYnIiIiRi9GL0YvKiYiIiNGLyZGLEYmRi8hIiImRiw2IywmRidGL0YvRjNGL0YvKUkiaEdGJUYxRjNGLyoqI0YvRjFGL0YnRjNGN0YzLCZGK0YvRjRGM0YvRi8qJilJJHBoaUdGJUYxRi9GMkYvRjM=">LCgqJiwoJkkieUc2IjYjLCZJIm1HRiciIiJGK0YrRismRiY2I0YqISIjJkYmNiMsJkYqRishIiJGK0YrRitJImhHRidGLkYrKihGKkYyRjNGLiwmRiVGK0YvRjJGKyNGKyIiIyomSSRwaGlHRidGN0YsRitGMg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L18" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"> The boundary conditions in finite difference form are:</Text-field>
</Input>
</Group>
<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq[0]:=subs(diff(y(x),x)=dydxf,y(x)=y[0],bc1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiEsJCooIyIiIiIiI0YrLCgmSSJ5R0YlNiNGLCEiIiomIiIlRismRi82I0YrRitGKyomIiIkRismRi9GJkYrRjFGK0kiaEdGJUYxRis=">LCQqJiwoJkkieUc2IjYjIiIjISIiJkYmNiMiIiIiIiUmRiY2IyIiISEiJEYtSSJoR0YnRiojRi1GKQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq[N+1]:=subs(diff(y(x),x)=dydxb,y(x)=y[N+1],bc2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIzYsKCooIyIiIiIiI0YrLCgmSSJ5R0YlNiMiIipGKyomIiIlRismRi82IyIjNUYrISIiKiYiIiRGKyZGL0YmRitGK0YrSSJoR0YlRjdGK0YrRjdGOkYr">LCgqJiwoJkkieUc2IjYjIiIqIiIiJkYmNiMiIzUhIiUmRiY2IyIjNiIiJEYqSSJoR0YnISIiI0YqIiIjRjRGKkYvRio=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"> A 'for loop' can be written for the interior node points as</Text-field>
</Input>
</Group>
<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Eq[i]:=subs(m=i,Eq[m]);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiIsKComLCgmSSJ5R0YlNiMiIiNGJyomRi5GJyZGLEYmRichIiImRiw2IyIiIUYnRicpSSJoR0YlRi5GMUYnKigjRidGLkYnRjVGMSwmRitGJ0YyRjFGJ0YnKiYpSSRwaGlHRiVGLkYnRjBGJ0Yx">LCgqJiwoJkkieUc2IjYjIiIjIiIiJkYmNiNGKiEiIyZGJjYjIiIhRipGKkkiaEdGJ0YtRioqJkYxRi0sJkYlRipGLiEiIkYqI0YqRikqJkkkcGhpR0YnRilGK0YqRjQ=</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiMsKComLCgmSSJ5R0YlNiMiIiQiIiIqJkYnRi8mRixGJkYvISIiJkYsNiNGL0YvRi8pSSJoR0YlRidGMkYvKigjRi8iIiVGL0Y1RjIsJkYrRi9GM0YyRi9GLyomKUkkcGhpR0YlRidGL0YxRi9GMg==">LCgqJiwoJkkieUc2IjYjIiIkIiIiJkYmNiMiIiMhIiMmRiY2I0YqRipGKkkiaEdGJ0YuRioqJkYxRi4sJkYlRipGLyEiIkYqI0YqIiIlKiZJJHBoaUdGJ0YtRitGKkY0</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiQsKComLCgmSSJ5R0YlNiMiIiUiIiIqJiIiI0YvJkYsRiZGLyEiIiZGLDYjRjFGL0YvKUkiaEdGJUYxRjNGLyooI0YvIiInRi9GNkYzLCZGK0YvRjRGM0YvRi8qJilJJHBoaUdGJUYxRi9GMkYvRjM=">LCgqJiwoJkkieUc2IjYjIiIlIiIiJkYmNiMiIiQhIiMmRiY2IyIiI0YqRipJImhHRidGLkYqKiZGMkYuLCZGJUYqRi8hIiJGKiNGKiIiJyomSSRwaGlHRidGMUYrRipGNQ==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiUsKComLCgmSSJ5R0YlNiMiIiYiIiIqJiIiI0YvJkYsRiZGLyEiIiZGLDYjIiIkRi9GLylJImhHRiVGMUYzRi8qKCNGLyIiKUYvRjdGMywmRitGL0Y0RjNGL0YvKiYpSSRwaGlHRiVGMUYvRjJGL0Yz">LCgqJiwoJkkieUc2IjYjIiImIiIiJkYmNiMiIiUhIiMmRiY2IyIiJEYqRipJImhHRidGLkYqKiZGMkYuLCZGJUYqRi8hIiJGKiNGKiIiKSomSSRwaGlHRiciIiNGK0YqRjU=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiYsKComLCgmSSJ5R0YlNiMiIiciIiIqJiIiI0YvJkYsRiZGLyEiIiZGLDYjIiIlRi9GLylJImhHRiVGMUYzRi8qKCNGLyIjNUYvRjdGMywmRitGL0Y0RjNGL0YvKiYpSSRwaGlHRiVGMUYvRjJGL0Yz">LCgqJiwoJkkieUc2IjYjIiInIiIiJkYmNiMiIiYhIiMmRiY2IyIiJUYqRipJImhHRidGLkYqKiZGMkYuLCZGJUYqRi8hIiJGKiNGKiIjNSomSSRwaGlHRiciIiNGK0YqRjU=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIicsKComLCgmSSJ5R0YlNiMiIigiIiIqJiIiI0YvJkYsRiZGLyEiIiZGLDYjIiImRi9GLylJImhHRiVGMUYzRi8qKCNGLyIjN0YvRjdGMywmRitGL0Y0RjNGL0YvKiYpSSRwaGlHRiVGMUYvRjJGL0Yz">LCgqJiwoJkkieUc2IjYjIiIoIiIiJkYmNiMiIichIiMmRiY2IyIiJkYqRipJImhHRidGLkYqKiZGMkYuLCZGJUYqRi8hIiJGKiNGKiIjNyomSSRwaGlHRiciIiNGK0YqRjU=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIigsKComLCgmSSJ5R0YlNiMiIikiIiIqJiIiI0YvJkYsRiZGLyEiIiZGLDYjIiInRi9GLylJImhHRiVGMUYzRi8qKCNGLyIjOUYvRjdGMywmRitGL0Y0RjNGL0YvKiYpSSRwaGlHRiVGMUYvRjJGL0Yz">LCgqJiwoJkkieUc2IjYjIiIpIiIiJkYmNiMiIighIiMmRiY2IyIiJ0YqRipJImhHRidGLkYqKiZGMkYuLCZGJUYqRi8hIiJGKiNGKiIjOSomSSRwaGlHRiciIiNGK0YqRjU=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiksKComLCgmSSJ5R0YlNiMiIioiIiIqJiIiI0YvJkYsRiZGLyEiIiZGLDYjIiIoRi9GLylJImhHRiVGMUYzRi8qKCNGLyIjO0YvRjdGMywmRitGL0Y0RjNGL0YvKiYpSSRwaGlHRiVGMUYvRjJGL0Yz">LCgqJiwoJkkieUc2IjYjIiIqIiIiJkYmNiMiIikhIiMmRiY2IyIiKEYqRipJImhHRidGLkYqKiZGMkYuLCZGJUYqRi8hIiJGKiNGKiIjOyomSSRwaGlHRiciIiNGK0YqRjU=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiosKComLCgmSSJ5R0YlNiMiIzUiIiIqJiIiI0YvJkYsRiZGLyEiIiZGLDYjIiIpRi9GLylJImhHRiVGMUYzRi8qKCNGLyIjPUYvRjdGMywmRitGL0Y0RjNGL0YvKiYpSSRwaGlHRiVGMUYvRjJGL0Yz">LCgqJiwoJkkieUc2IjYjIiM1IiIiJkYmNiMiIiohIiMmRiY2IyIiKUYqRipJImhHRidGLkYqKiZGMkYuLCZGJUYqRi8hIiJGKiNGKiIjPSomSSRwaGlHRiciIiNGK0YqRjU=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIzUsKComLCgmSSJ5R0YlNiMiIzYiIiIqJiIiI0YvJkYsRiZGLyEiIiZGLDYjIiIqRi9GLylJImhHRiVGMUYzRi8qKCNGLyIjP0YvRjdGMywmRitGL0Y0RjNGL0YvKiYpSSRwaGlHRiVGMUYvRjJGL0Yz">LCgqJiwoJkkieUc2IjYjIiM2IiIiJkYmNiMiIzUhIiMmRiY2IyIiKkYqRipJImhHRidGLkYqKiZGMkYuLCZGJUYqRi8hIiJGKiNGKiIjPyomSSRwaGlHRiciIiNGK0YqRjU=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L23" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">y[0]:=solve(Eq[0],y[0]);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJInlHNiI2IyIiISwmKiYjIiIiIiIkRismRiQ2IyIiI0YrISIiKiYjIiIlRixGKyZGJDYjRitGK0Yr">LCYmSSJ5RzYiNiMiIiMjISIiIiIkJkYkNiMiIiIjIiIlRio=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L24" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">y[N+1]:=solve(Eq[N+1],y[N+1]);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJInlHNiI2IyIjNiomLCgmRiQ2IyIiKiEiIiomIiIlIiIiJkYkNiMiIzVGMEYwKiYiIiNGMEkiaEdGJUYwRjBGMCwmIiIkRjBGNEYwRi0=">KiYsKCZJInlHNiI2IyIiKiEiIiZGJTYjIiM1IiIlSSJoR0YmIiIjIiIiLCYiIiRGMEYuRi9GKQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L25" 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="L26" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do Eq[i]:=eval(Eq[i]);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiIsKComIyIkJVsiIiRGJyZJInlHRiU2IyIiI0YnRicqJkYqRicmRi5GJkYnISIiKiYpSSRwaGlHRiVGMEYnRjJGJ0Yz">LCgmSSJ5RzYiNiMiIiMjIiQlWyIiJCZGJDYjIiIiIyEkJVtGKiomSSRwaGlHRiVGJ0YrRi0hIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiMsKiomIyIkMCciIiUiIiImSSJ5R0YlNiMiIiRGLUYtKiYiJFUjRi0mRi9GJkYtISIiKiYjIiRqJEYsRi0mRi82I0YtRi1GLSomKUkkcGhpR0YlRidGLUY0Ri1GNQ==">LComSSJ5RzYiNiMiIiQjIiQwJyIiJSZGJDYjIiIjISRVIyZGJDYjIiIiIyIkaiRGKiomSSRwaGlHRiVGLUYrRjEhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiQsKiomIyIkWikiIiciIiImSSJ5R0YlNiMiIiVGLUYtKiYiJFUjRi0mRi9GJkYtISIiKiYjIiQwJ0YsRi0mRi82IyIiI0YtRi0qJilJJHBoaUdGJUY7Ri1GNEYtRjU=">LComSSJ5RzYiNiMiIiUjIiRaKSIiJyZGJDYjIiIkISRVIyZGJDYjIiIjIyIkMCdGKiomSSRwaGlHRiVGMUYrIiIiISIi</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiUsKiomIyIlKjMiIiIpIiIiJkkieUdGJTYjIiImRi1GLSomIiRVI0YtJkYvRiZGLSEiIiomIyIkWilGLEYtJkYvNiMiIiRGLUYtKiYpSSRwaGlHRiUiIiNGLUY0Ri1GNQ==">LComSSJ5RzYiNiMiIiYjIiUqMyIiIikmRiQ2IyIiJSEkVSMmRiQ2IyIiJCMiJFopRioqJkkkcGhpR0YlIiIjRisiIiIhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiYsKiomIyIlSjgiIzUiIiImSSJ5R0YlNiMiIidGLUYtKiYiJFUjRi0mRi9GJkYtISIiKiYjIiUqMyJGLEYtJkYvNiMiIiVGLUYtKiYpSSRwaGlHRiUiIiNGLUY0Ri1GNQ==">LComSSJ5RzYiNiMiIicjIiVKOCIjNSZGJDYjIiImISRVIyZGJDYjIiIlIyIlKjMiRioqJkkkcGhpR0YlIiIjRisiIiIhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIicsKiomIyIldDoiIzciIiImSSJ5R0YlNiMiIihGLUYtKiYiJFUjRi0mRi9GJkYtISIiKiYjIiVKOEYsRi0mRi82IyIiJkYtRi0qJilJJHBoaUdGJSIiI0YtRjRGLUY1">LComSSJ5RzYiNiMiIigjIiV0OiIjNyZGJDYjIiInISRVIyZGJDYjIiImIyIlSjhGKiomSSRwaGlHRiUiIiNGKyIiIiEiIg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIigsKiomIyIlOj0iIzkiIiImSSJ5R0YlNiMiIilGLUYtKiYiJFUjRi0mRi9GJkYtISIiKiYjIiV0OkYsRi0mRi82IyIiJ0YtRi0qJilJJHBoaUdGJSIiI0YtRjRGLUY1">LComSSJ5RzYiNiMiIikjIiU6PSIjOSZGJDYjIiIoISRVIyZGJDYjIiInIyIldDpGKiomSSRwaGlHRiUiIiNGKyIiIiEiIg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiksKiomIyIlZD8iIzsiIiImSSJ5R0YlNiMiIipGLUYtKiYiJFUjRi0mRi9GJkYtISIiKiYjIiU6PUYsRi0mRi82IyIiKEYtRi0qJilJJHBoaUdGJSIiI0YtRjRGLUY1">LComSSJ5RzYiNiMiIiojIiVkPyIjOyZGJDYjIiIpISRVIyZGJDYjIiIoIyIlOj1GKiomSSRwaGlHRiUiIiNGKyIiIiEiIg==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiosKiomIyIlKkgjIiM9IiIiJkkieUdGJTYjIiM1Ri1GLSomIiRVI0YtJkYvRiZGLSEiIiomIyIlZD9GLEYtJkYvNiMiIilGLUYtKiYpSSRwaGlHRiUiIiNGLUY0Ri1GNQ==">LComSSJ5RzYiNiMiIzUjIiUqSCMiIz0mRiQ2IyIiKiEkVSMmRiQ2IyIiKSMiJWQ/RioqJkkkcGhpR0YlIiIjRisiIiIhIiI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIzUsKiomIyIlXlAiI10iIiImSSJ5R0YlNiMiIipGLUYtKiYjIiVkPyIjREYtJkYvRiZGLSEiIiMiJGokRixGLSomKUkkcGhpR0YlIiIjRi1GNkYtRjc=">LComSSJ5RzYiNiMiIiojIiVeUCIjXSZGJDYjIiM1IyElZD8iI0QjIiRqJEYqIiIiKiZJJHBoaUdGJSIiI0YrRjMhIiI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L27" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eqs:=[seq(Eq[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="L28" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">vars:=[seq(y[i],i=1..N)];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkldmFyc0c2IjcsJkkieUdGJDYjIiIiJkYnNiMiIiMmRic2IyIiJCZGJzYjIiIlJkYnNiMiIiYmRic2IyIiJyZGJzYjIiIoJkYnNiMiIikmRic2IyIiKiZGJzYjIiM1">NywmSSJ5RzYiNiMiIiImRiQ2IyIiIyZGJDYjIiIkJkYkNiMiIiUmRiQ2IyIiJiZGJDYjIiInJkYkNiMiIigmRiQ2IyIiKSZGJDYjIiIqJkYkNiMiIzU=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L29" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">A:=genmatrix(eqs,vars,'B1');</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="L30" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalm(B1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkndmVjdG9yRzYiNiM3LCIiIUYnRidGJ0YnRidGJ0YnRicjISRqJCIjXQ==">PTYiNiM7IiIiIiM1RVxbbCtGJiIiISIiI0YpIiIkRikiIiZGKSIiJUYpIiIoRikiIidGKUYnIyEkaiQiI10iIilGKSIiKkYp</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L31" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"> Maple generates a row vector, which can be converted to a column vector as:</Text-field>
</Input>
</Group>
<Group labelreference="L32" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">B:=matrix(N,1):for i to 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="LUknbWF0cml4RzYiNiM3LDcjIiIhRidGJ0YnRidGJ0YnRidGJzcjIyEkaiQiI10=">PTYiNiQ7IiIiIiM1O0YmRiZFXFtsKzYkIiIoRiYiIiE2JCIiKUYmRiw2JCIiJkYmRiw2JCIiJUYmRiw2JEYmRiZGLDYkIiInRiZGLDYkIiIkRiZGLDYkIiIqRiZGLDYkIiIjRiZGLDYkRidGJiMhJGokIiNd</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L33" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"> The solution is obtained as</Text-field>
</Input>
</Group>
<Group labelreference="L34" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">X:=evalm(inverse(A)&amp;*B);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
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<Group labelreference="L35" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to N do y[i]:=X[i,1];od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJInlHNiI2IyIiIiwkKiYiPSFwWm9rJipIU1okKVJtYV8nRicsOEYqRicqJiI9WDBsVDVRRCpvLFY8MSlbRicpSSRwaGlHRiUiIiNGJ0YnKiYiPChcRXlHbnlPL3ZxKygqW0YnKUYvIiIlRidGJyomIjtLQyw9S28lcDA7M0h0IkYnKUYvIiInRidGJyomIjk7dzx3WHNSKEhqPCVIRicpRi8iIilGJ0YnKiYiNyFbN0ExWVA0VShmRkYnKUYvIiM1RidGJyomIjUhMzFpJypbIT1YSzpGJylGLyIjN0YnRicqJiIyYz0heSdcbl06JkYnKUYvIiM5RidGJyomIjB3aF06QC8uIkYnKUYvIiM7RidGJyomIi0pR3MqKVs3IkYnKUYvIiM9RidGJyomIikrJzQ7JkYnKUYvIiM/RidGJyEiIkYn">LCQqJCw4Ij0hcFpvayYqSFNaJClSbWFfJyIiIiokSSRwaGlHNiIiIiMiPVgwbFQ1UUQqbyxWPDEpWyokRigiIiUiPChcRXlHbnlPL3ZxKygqWyokRigiIiciO0tDLD1LbyVwMDszSHQiKiRGKCIiKSI5O3c8d1hzUihIajwlSCokRigiIzUiNyFbN0ExWVA0VShmRiokRigiIzciNSEzMWknKlshPVhLOiokRigiIzkiMmM9IXknXG5dOiYqJEYoIiM7IjB3aF06QC8uIiokRigiIz0iLSlHcyopWzciKiRGKCIjPyIpKyc0OyYhIiJGJQ==</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJInlHNiI2IyIiIywkKigjIjtYLyhwUUpQRCQ9UFoncCNGJyIiIiwmKiYiIiRGLClJJHBoaUdGJUYnRixGLCIkJVtGLEYsLDgiPSFwWm9rJipIU1okKVJtYV8nRiwqJiI9WDBsVDVRRCpvLFY8MSlbRixGMEYsRiwqJiI8KFxFeUdueU8vdnErKCpbRiwpRjEiIiVGLEYsKiYiO0tDLD1LbyVwMDszSHQiRiwpRjEiIidGLEYsKiYiOTt3PHdYc1IoSGo8JUhGLClGMSIiKUYsRiwqJiI3IVs3QTFZUDRVKGZGRiwpRjEiIzVGLEYsKiYiNSEzMWknKlshPVhLOkYsKUYxIiM3RixGLComIjJjPSF5J1xuXTomRiwpRjEiIzlGLEYsKiYiMHdoXTpALy4iRiwpRjEiIztGLEYsKiYiLSlHcyopWzciRiwpRjEiIz1GLEYsKiYiKSsnNDsmRiwpRjEiIz9GLEYsISIiRiw=">LCQqJiwmKiRJJHBoaUc2IiIiIyIiJCIkJVsiIiJGKyw4Ij0hcFpvayYqSFNaJClSbWFfJ0YrRiUiPVgwbFQ1UUQqbyxWPDEpWyokRiYiIiUiPChcRXlHbnlPL3ZxKygqWyokRiYiIiciO0tDLD1LbyVwMDszSHQiKiRGJiIiKSI5O3c8d1hzUihIajwlSCokRiYiIzUiNyFbN0ExWVA0VShmRiokRiYiIzciNSEzMWknKlshPVhLOiokRiYiIzkiMmM9IXknXG5dOiYqJEYmIiM7IjB3aF06QC8uIiokRiYiIz0iLSlHcyopWzciKiRGJiIjPyIpKyc0OyYhIiIjIjtYLyhwUUpQRCQ9UFoncCNGKA==</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJiwoKiRJJHBoaUc2IiIiIyIlNTcqJEYmIiIlIiIkIiYwSygiIiJGLiw4Ij0hcFpvayYqSFNaJClSbWFfJ0YuRiUiPVgwbFQ1UUQqbyxWPDEpW0YqIjwoXEV5R255Ty92cSsoKlsqJEYmIiInIjtLQyw9S28lcDA7M0h0IiokRiYiIikiOTt3PHdYc1IoSGo8JUgqJEYmIiM1IjchWzdBMVlQNFUoZkYqJEYmIiM3IjUhMzFpJypbIT1YSzoqJEYmIiM5IjJjPSF5J1xuXTomKiRGJiIjOyIwd2hdOkAvLiIqJEYmIiM9Ii0pR3MqKVs3IiokRiYiIz8iKSsnNDsmISIiIjg9ZyczWHk/MEYnUiIqKQ==</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJiwqKiRJJHBoaUc2IiIiIyIoRGxvKCokRiYiIiUiJmtrJSokRiYiIiciI3MiKlMmPSFbIyIiIkYxLDgiPSFwWm9rJipIU1okKVJtYV8nRjFGJSI9WDBsVDVRRCpvLFY8MSlbRioiPChcRXlHbnlPL3ZxKygqW0YtIjtLQyw9S28lcDA7M0h0IiokRiYiIikiOTt3PHdYc1IoSGo8JUgqJEYmIiM1IjchWzdBMVlQNFUoZkYqJEYmIiM3IjUhMzFpJypbIT1YSzoqJEYmIiM5IjJjPSF5J1xuXTomKiRGJiIjOyIwd2hdOkAvLiIqJEYmIiM9Ii0pR3MqKVs3IiokRiYiIz8iKSsnNDsmISIiIyI1WmMmKkcsPiZ6P0UmRig=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJiwsKiRJJHBoaUc2IiIiIyIrSU0zOzYqJEYmIiIlIilMSiE+IiokRiYiIiciJiNmVSokRiYiIikiI1siLDBEbzJEIyIiIkY0LDgiPSFwWm9rJipIU1okKVJtYV8nRjRGJSI9WDBsVDVRRCpvLFY8MSlbRioiPChcRXlHbnlPL3ZxKygqW0YtIjtLQyw9S28lcDA7M0h0IkYwIjk7dzx3WHNSKEhqPCVIKiRGJiIjNSI3IVs3QTFZUDRVKGZGKiRGJiIjNyI1ITMxaScqWyE9WEs6KiRGJiIjOSIyYz0heSdcbl06JiokRiYiIzsiMHdoXTpALy4iKiRGJiIjPSItKUdzKilbNyIqJEYmIiM/IikrJzQ7JiEiIiIzUUR0JWVPPCMqKkc=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJiwuKiRJJHBoaUc2IiIiIyIuRFd3ZGFtKSokRiYiIiUiLSM+PyIpXFQiKiRGJiIiJyIqd1AmKmYpKiRGJiIiKSIoPyRvQCokRiYiIzUiJT8+IjA/bWwsNCQpPiIiIiJGNyw4Ij0hcFpvayYqSFNaJClSbWFfJ0Y3RiUiPVgwbFQ1UUQqbyxWPDEpW0YqIjwoXEV5R255Ty92cSsoKltGLSI7S0MsPUtvJXAwOzNIdCJGMCI5O3c8d1hzUihIajwlSEYzIjchWzdBMVlQNFUoZkYqJEYmIiM3IjUhMzFpJypbIT1YSzoqJEYmIiM5IjJjPSF5J1xuXTomKiRGJiIjOyIwd2hdOkAvLiIqJEYmIiM9Ii0pR3MqKVs3IiokRiYiIz8iKSsnNDsmISIiIyIwKmYqKmVDNiozIkYo</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJiwwKiRJJHBoaUc2IiIiIyIxIT0zWTswTW4lKiRGJiIiJSIwYT9OIylvajIiKiRGJiIiJyItU2VabUwoKiokRiYiIikiKz9uLXBTKiRGJiIjNSIoISkpKSp5KiRGJiIjNyIlZ2QiMjplWXc/XUJyJSIiIkY6LDgiPSFwWm9rJipIU1okKVJtYV8nRjpGJSI9WDBsVDVRRCpvLFY8MSlbRioiPChcRXlHbnlPL3ZxKygqW0YtIjtLQyw9S28lcDA7M0h0IkYwIjk7dzx3WHNSKEhqPCVIRjMiNyFbN0ExWVA0VShmRkY2IjUhMzFpJypbIT1YSzoqJEYmIiM5IjJjPSF5J1xuXTomKiRGJiIjOyIwd2hdOkAvLiIqJEYmIiM9Ii0pR3MqKVs3IiokRiYiIz8iKSsnNDsmISIiIi1FciRlWlEi</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJiwyIjVnV1g0XSt2eCFHIyIiIiokSSRwaGlHNiIiIiMiNFhqTTwzaiF5b0gqJEYoIiIlIjJbRzVUVyZHTiIqKiRGKCIiJyIxZ0ByQFlSUjYqJEYoIiIpIi4hRzhkWF9wKiRGKCIjNSIsZ1BwNT8jKiRGKCIjNyIpP0pwTSokRigiIzkiJi86I0YmLDgiPSFwWm9rJipIU1okKVJtYV8nRiZGJyI9WDBsVDVRRCpvLFY8MSlbRiwiPChcRXlHbnlPL3ZxKygqW0YvIjtLQyw9S28lcDA7M0h0IkYyIjk7dzx3WHNSKEhqPCVIRjUiNyFbN0ExWVA0VShmRkY4IjUhMzFpJypbIT1YSzpGOyIyYz0heSdcbl06JiokRigiIzsiMHdoXTpALy4iKiRGKCIjPSItKUdzKilbNyIqJEYoIiM/IikrJzQ7JiEiIiMiKi5VQHMmRio=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJiw0IjhiZyY+NkVqSCkqKUc8IiIiIiokSSRwaGlHNiIiIiMiNysiSE8hZVV2M21RPiokRigiIiUiNU1JZzVYcTZnbXcqJEYoIiInIjRzMT0hKkhgelhEIiokRigiIikiMiEpMz45aiRSUjUqJEYoIiM1Ii8rOyk9WSJRWiokRigiIzciLStHdGcuNyokRigiIzkiKl8kKWVmIiokRigiIzsiJjtnKUYmLDgiPSFwWm9rJipIU1okKVJtYV8nRiZGJyI9WDBsVDVRRCpvLFY8MSlbRiwiPChcRXlHbnlPL3ZxKygqW0YvIjtLQyw9S28lcDA7M0h0IkYyIjk7dzx3WHNSKEhqPCVIRjUiNyFbN0ExWVA0VShmRkY4IjUhMzFpJypbIT1YSzpGOyIyYz0heSdcbl06JkY+IjB3aF06QC8uIiokRigiIz0iLSlHcyopWzciKiRGKCIjPyIpKyc0OyYhIiIiJ2VqYg==</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="L36" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">y[0]:=eval(y[0]);y[N+1]:=eval(y[N+1]);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCYqJiwmKiRJJHBoaUc2IiIiIyIiJCIkJVsiIiJGKyw4Ij0hcFpvayYqSFNaJClSbWFfJ0YrRiUiPVgwbFQ1UUQqbyxWPDEpWyokRiYiIiUiPChcRXlHbnlPL3ZxKygqWyokRiYiIiciO0tDLD1LbyVwMDszSHQiKiRGJiIiKSI5O3c8d1hzUihIajwlSCokRiYiIzUiNyFbN0ExWVA0VShmRiokRiYiIzciNSEzMWknKlshPVhLOiokRiYiIzkiMmM9IXknXG5dOiYqJEYmIiM7IjB3aF06QC8uIiokRiYiIz0iLSlHcyopWzciKiRGJiIjPyIpKyc0OyYhIiIjITo6b2wmelY3dkZkQykpKilGKCokRixGSiI9P3B6Jj4lKlI/alcnPWkrKCk=</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="L37" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"><Font encoding="UTF-8"> Now the result obtained is plotted for different values of Thiele modulus \316\246:</Font></Text-field>
</Input>
</Group>
<Group labelreference="L40" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display({seq(p[i],i=1..5)});</Text-field>
</Input>
<Output>
<Text-field style="Error" layout="Error">Error, (in plots:-display) expecting plot structures but received: {p[1], p[2], p[3], p[4], p[5]}</Text-field>
</Output>
</Group>
<Group labelreference="L52" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">pars:=[0.1,0.5,1,2,5];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklcGFyc0c2IjcnJCIiIiEiIiQiIiZGKEYnIiIjRio=">NyckIiIiISIiJCIiJkYlRiQiIiNGJw==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L53" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">clr:=[black,red,green,gold,blue];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkY2xyRzYiNydJJmJsYWNrR0YkSSRyZWRHRiRJJmdyZWVuR0YkSSVnb2xkR0YkSSVibHVlR0Yk">NydJJmJsYWNrRzYiSSRyZWRHRiRJJmdyZWVuR0YkSSVnb2xkR0YkSSVibHVlR0Yk</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L54" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for j from 1 to 5 do p[j]:=plot([seq([i*h,subs(phi=pars[j],y[i])],i=0..N+1)],thickness=4,title=&quot;Figure Exp 3.1.14.&quot;,axes=boxed,color=clr[j]):od:
</Text-field>
</Input>
</Group>
<Group labelreference="L57" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">pt:=textplot([seq([3*h,evalf(subs(phi=pars[j],y[3])-0.02),phi=pars[j]],j=1..5)]):</Text-field>
</Input>
</Group>
<Group labelreference="L58" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display({seq(p[i],i=1..5),pt},title=&quot;Figure Exp 3.1.14.&quot;,axes=boxed,labels=[x,y]);</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">[encoded data, 17844 characters]</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L46" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>