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    </Task-category>
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    <Annotation-category name="&lt;default&gt;">
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<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field style="Heading 3" italic="false" layout="Heading 3"><Font italic="false">Example 2.2.3 Fermentation Kinetics</Font></Text-field>
</Input>
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<Group labelreference="L16" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart:</Text-field>
</Input>
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<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(plots):</Text-field>
</Input>
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<Group labelreference="L18" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter the governing equations.</Text-field>
</Input>
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<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[1]:=diff(y[1](t),t)=k[1]*y[1](t)*(1-y[1](t)/k[2]);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ5R0YlRiY2I0kidEdGJUYxKigmSSJrR0YlRiZGJ0YtRicsJkYnRicqJkYtRicmRjQ2IyIiIyEiIkY6Ric=">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkieUc2IjYjIiIiNiNJInRHRipGLiooJkkia0dGKkYrRixGJ0YsLCZGLEYsKiZGJ0YsJkYxNiMiIiMhIiJGN0Ys</Equation></Text-field>
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<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eq[2]:=diff(y[2](t),t)=k[3]*y[1](t)-k[4]*y[2](t);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiMvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ5R0YlRiY2I0kidEdGJUYxLCYqJiZJImtHRiU2IyIiJCIiIi0mRi82I0Y4RjBGOEY4KiYmRjU2IyIiJUY4Ri1GOCEiIg==">Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtJkkieUc2IjYjIiIjNiNJInRHRipGLiwmKiYmSSJrR0YqNiMiIiQiIiItJkYpNiNGNUYtRjVGNSomJkYyNiMiIiVGNUYnRjUhIiI=</Equation></Text-field>
</Output>
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<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter the dependent variables:</Text-field>
</Input>
</Group>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">vars:=(y[1](t),y[2](t));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkldmFyc0c2IjYkLSZJInlHRiQ2IyIiIjYjSSJ0R0YkLSZGKDYjIiIjRis=">NiQtJkkieUc2IjYjIiIiNiNJInRHRiYtJkYlNiMiIiNGKQ==</Equation></Text-field>
</Output>
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<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter the values for the parameters:</Text-field>
</Input>
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<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">pars:={k[1]=0.04,k[2]=3.92,k[3]=.018,k[4]=0.022};</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklcGFyc0c2IjwmLyZJImtHRiQ2IyIiIiQiIiUhIiMvJkYoNiMiIiMkIiQjUkYtLyZGKDYjIiIkJCIjPSEiJC8mRig2I0YsJCIjQUY6">PCYvJkkia0c2IjYjIiIiJCIiJSEiIy8mRiU2IyIiIyQiJCNSRisvJkYlNiMiIiQkIiM9ISIkLyZGJTYjRiokIiNBRjg=</Equation></Text-field>
</Output>
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<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eqs:=(subs(pars,eq[1]),subs(pars,eq[2]));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkZXFzRzYiNiQvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ5R0YkNiMiIiI2I0kidEdGJEYxLCQqKCQiIiUhIiNGL0YrRi8sJkYvRi8qJiQiKzMvLV5EISM1Ri9GK0YvISIiRi9GLy8tRig2JC0mRi02IyIiI0YwRjEsJiomJCIjPSEiJEYvRitGL0YvKiYkIiNBRkhGL0ZARi9GPA==">NiQvLUklZGlmZkclKnByb3RlY3RlZEc2JC0mSSJ5RzYiNiMiIiI2I0kidEdGK0YvLCQqJkYoRi0sJkYtRi1GKCQhKzMvLV5EISM1Ri0kIiIlISIjLy1GJTYkLSZGKjYjIiIjRi5GLywmRigkIiM9ISIkRjwkISNBRkM=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter the initial conditions:</Text-field>
</Input>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ICs:=(y[1](0)=0.29,y[2](0)=0);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkSUNzRzYiNiQvLSZJInlHRiQ2IyIiIjYjIiIhJCIjSCEiIy8tJkYpNiMiIiNGLEYt">NiQvLSZJInlHNiI2IyIiIjYjIiIhJCIjSCEiIy8tJkYmNiMiIiNGKkYr</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol:=dsolve({eqs,ICs},{vars},type=numeric);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="Pkkkc29sRzYiZio2I0koeF9ya2Y0NUdGJDYpSSRyZXNHRiRJJWRhdGFHRiRJJXZhcnNHRiRJKXNvbG5wcm9jR0YkSSlvdXRwb2ludEdGJEkmbmRzb2xHRiRJImlHRiQ2I0lpbkNvcHlyaWdodH4oYyl+MjAwMH5ieX5XYXRlcmxvb35NYXBsZX5JbmMufkFsbH5yaWdodHN+cmVzZXJ2ZWQuR0YkRiRDKj5JOF9FbnZEU051bWVyaWNTYXZlRGlnaXRzR0YkSSdEaWdpdHNHRiQ+RjUiIzlAJS9JLV9FbnZJbkZzb2x2ZUdGJEkldHJ1ZUclKnByb3RlY3RlZEc+Ri0tJkkmZXZhbGZHRjw2I0Y0RiY+Ri0tRkBGJj5GKi1JJWV2YWxHRjw2IyZJPGRzb2x2ZS9udW1lcmljL2RhdGEvbW9kdWxlc0dJKF9zeXNsaWJHRiQ2IyIiIj5GKy1fRipJJEdldEdGJDYjUShzeXN2YXJzRiQ+RiwtRk82I1Evc29sbl9wcm9jZWR1cmVGJEAkNC1JJXR5cGVHRjw2JEYtLkkobnVtZXJpY0dGPEMkQCwtSSdtZW1iZXJHRjw2JEYnNytRJnN0YXJ0RiQuSSZzdGFydEdGJFEnbWV0aG9kRiQuSSdtZXRob2RHRiRRJWxlZnRGJFEmcmlnaHRGJFEpbGVmdGRhdGFGJFEqcmlnaHRkYXRhRiRRK2VuZ2luZWRhdGFGJEMkPkYpLUYsNiMtSShjb252ZXJ0R0Y8NiRGJy5JJ3N0cmluZ0dGPEAmLUZaNiRGKS5JJmFycmF5R0Y8Ty1GRjYkRilGTDBGKVEpcHJvY25hbWVGJE9GKS1GW282JEYnNyZRJWxhc3RGJC5JJWxhc3RHRiRRKGluaXRpYWxGJC5JKGluaXRpYWxHRiRDJEZqb0AkLUZaNiRGKS5JJWxpc3RHRjxPNyMtSSRzZXFHRjw2JC8mRis2IywmRi9GTEZMRkwmRilGY3IvRi87IiIhIiIjMy1GWjYkRi1JIj1HRjwtRltvNiQtSSRsaHNHRjw2I0YtNyRGY3FGZHFDJEAlLUZaNiQtSSRyaHNHRjxGYnNGanE+RiktRiw2Iy9GY3E3JEZoci1JI29wR0Y8NiNGaHNZUUtpbml0aWFsfnZhbHVlc35tdXN0fmJlfnNwZWNpZmllZH5pbn5hfmxpc3RGJEZncS9GLVEuc29sbnByb2NlZHVyZUYkTy1GRjYjRiwvRi1GUk9GK0AlMCUpcHJvY25hbWVHSSh1bmtub3duR0YkTy0uRl11RiZDJD5GLi1JKHBvaW50dG9HRjw2IyYtRk82I1Ewc29sbl9wcm9jZWR1cmVzRiQ2I0Zock8tLkYuRiZaJUMkPkYpLUYsRmJzRl1yRiRZRiRGJEYkRiQ=">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</Equation></Text-field>
</Output>
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<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Next, the plots are made.</Text-field>
</Input>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">odeplot(sol,[t,y[1](t)],0..400,title=&quot;Figure Exp. 2.2.6&quot;,axes=boxed,thickness=4);</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">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</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">odeplot(sol,[t,y[2](t)],0..400,title=&quot;Figure Exp. 2.2.7&quot;,axes=boxed,thickness=4);</Text-field>
</Input>
<Input>
<Text-field prompt="&gt; " style="Maple Input" linebreak="space" spaceabove="0" rightmargin="0" bullet="none" firstindent="0" bulletsuffix="" linespacing="0.0" pagebreak-before="false" leftmargin="0" alignment="left" initial="0" spacebelow="0"></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">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</Plot></Text-field>
</Output>
</Group>
<Group labelreference="L24" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Next, the solution at a particular time can be obtained as:</Text-field>
</Input>
</Group>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol(0);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NyUvSSJ0RzYiJCIiIUYnLy0mSSJ5R0YlNiMiIiI2I0YkJCIvKysrKysrSCEjOS8tJkYrNiMiIiNGLkYm</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol(100.);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NyUvSSJ0RzYiJCIkKyIiIiEvLSZJInlHRiU2IyIiIjYjRiQkIjNzKVx5KydwISopPSQhIzwvLSZGLDYjIiIjRi8kIjN2IltyXHkkNFc6RjI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol(200);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NyUvSSJ0RzYiJCIkKyMiIiEvLSZJInlHRiU2IyIiIjYjRiQkIjNHZ1ohekE0TyFSISM8Ly0mRiw2IyIiI0YvJCIzLXZgO2pMNVlIRjI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L25" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Similarly higher order ODEs can be solved using Maple's 'dsolve' command as shown in the next example.</Text-field>
</Input>
</Group>
<Group labelreference="L23" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Worksheet>