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<Text-field style="Text" layout="Normal"><Font size="24">Solutions to the symmetric wave equation on a disk.</Font></Text-field>
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<Text-field style="Text" layout="Normal">The function <Font mathsize="12" fontweight="bold" mathvariant="bold" bold="true" mathbackground="[255,255,255]" mathcolor="[0,0,0]" fontfamily="Times New Roman">wave1</Font><Font mathsize="12" mathvariant="normal" mathbackground="[255,255,255]" mathcolor="[0,0,0]" fontfamily="Times New Roman"> takes in three parameters:</Font></Text-field>
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<Text-field style="Text" italic="true" layout="Normal"><Font italic="true">f</Font><Font mathsize="12" mathvariant="normal" mathbackground="[255,255,255]" italic="false" mathcolor="[0,0,0]" fontfamily="Times New Roman"> - The initial displacement, written as a function of </Font><Font mathsize="12" mathvariant="italic" mathbackground="[255,255,255]" italic="true" mathcolor="[0,0,0]" fontfamily="Times New Roman">r</Font><Font mathsize="12" mathvariant="normal" mathbackground="[255,255,255]" italic="false" mathcolor="[0,0,0]" fontfamily="Times New Roman">.</Font></Text-field>
<Text-field style="Text" italic="true" layout="Normal"><Font italic="true">g</Font><Font mathsize="12" mathvariant="normal" mathbackground="[255,255,255]" italic="false" mathcolor="[0,0,0]" fontfamily="Times New Roman"> - The initial velocity, written as a functino of </Font><Font mathsize="12" mathvariant="italic" mathbackground="[255,255,255]" italic="true" mathcolor="[0,0,0]" fontfamily="Times New Roman">r</Font><Font mathsize="12" mathvariant="normal" mathbackground="[255,255,255]" italic="false" mathcolor="[0,0,0]" fontfamily="Times New Roman">.</Font></Text-field>
<Text-field style="Text" italic="true" layout="Normal"><Font italic="true">m</Font><Font mathsize="12" mathvariant="normal" mathbackground="[255,255,255]" italic="false" mathcolor="[0,0,0]" fontfamily="Times New Roman"> - The number of terms you want to the solution that you want to use.</Font></Text-field>
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<Text-field style="Text" italic="true" layout="Normal"><Font italic="false">To keep from having too many inputs, the program assumes that </Font><Font mathsize="12" mathvariant="italic" mathbackground="[255,255,255]" italic="true" mathcolor="[0,0,0]" fontfamily="Times New Roman">c</Font><Font mathsize="12" mathvariant="normal" mathbackground="[255,255,255]" italic="false" mathcolor="[0,0,0]" fontfamily="Times New Roman"> = 1 and </Font><Font mathsize="12" mathvariant="italic" mathbackground="[255,255,255]" italic="true" mathcolor="[0,0,0]" fontfamily="Times New Roman">a</Font><Font mathsize="12" mathvariant="normal" mathbackground="[255,255,255]" italic="false" mathcolor="[0,0,0]" fontfamily="Times New Roman"> = 1.</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="with(plots):" display="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">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</Equation></Text-field>
</Input>
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<Group labelreference="L105" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
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<Group labelreference="L107" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">As an example:</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L108" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">And to view the result:</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="animate(plot3d, [[r*cos(th), r*sin(th), u], r = 0 .. 1, th = 0 .. 2*Pi], t = 0 .. 10, frames = 100);" display="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">QyQtSShhbmltYXRlRzYiNiZJJ3Bsb3QzZEdGJTclNyUqJkkickdGJSIiIi1JJGNvc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjSSN0aEdGJUYsKiZGK0YsLUkkc2luR0YvRjJGLEkidUdGJS9GKzsiIiFGLC9GMztGOiwkSSNQaUdGMCIiIy9JInRHRiU7RjoiIzUvSSdmcmFtZXNHRiUiJCsiRiw=</Equation></Text-field>
</Input>
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<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L715" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">Your task?  Simply play with the program.  Change <Font mathsize="12" mathvariant="italic" mathbackground="[255,255,255]" italic="true" mathcolor="[0,0,0]" fontfamily="Times New Roman">f</Font><Font mathsize="12" mathvariant="normal" mathbackground="[255,255,255]" mathcolor="[0,0,0]" fontfamily="Times New Roman"> and </Font><Font mathsize="12" mathvariant="italic" mathbackground="[255,255,255]" italic="true" mathcolor="[0,0,0]" fontfamily="Times New Roman">g</Font><Font mathsize="12" mathvariant="normal" mathbackground="[255,255,255]" mathcolor="[0,0,0]" fontfamily="Times New Roman"> in the input, possibly change </Font><Font mathsize="12" mathvariant="italic" mathbackground="[255,255,255]" italic="true" mathcolor="[0,0,0]" fontfamily="Times New Roman">m</Font><Font mathsize="12" mathvariant="normal" mathbackground="[255,255,255]" mathcolor="[0,0,0]" fontfamily="Times New Roman">, possibly change the range of </Font><Font mathsize="12" mathvariant="italic" mathbackground="[255,255,255]" italic="true" mathcolor="[0,0,0]" fontfamily="Times New Roman">t</Font><Font mathsize="12" mathvariant="normal" mathbackground="[255,255,255]" mathcolor="[0,0,0]" fontfamily="Times New Roman"> in the </Font><Font mathsize="12" mathvariant="italic" mathbackground="[255,255,255]" italic="true" mathcolor="[0,0,0]" fontfamily="Times New Roman">animate</Font><Font mathsize="12" mathvariant="normal" mathbackground="[255,255,255]" mathcolor="[0,0,0]" fontfamily="Times New Roman"> command (you can also change the number of frames if you want).  Basically, make something cool, and then bask in the glory of your vibrating membrane. </Font></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>