<item ident="F2-1080" title="F2 | Separation of variables | ver. 1080">
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<presentation>
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<div class="exercise-statement">
<p>
<strong>F2.</strong>
</p>
<p>Find the solution to the given IVP.</p>
<p style="text-align:center;">
<img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}" alt="3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}" title="3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}" data-latex="3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}"/>
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<mattext texttype="text/html"><div class="exercise-statement">
<p>
<strong>F2.</strong>
</p>
<p>Find the solution to the given IVP.</p>
<p style="text-align:center;">
<img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?3%20%5C,%20%7By'%7D%20t%20=%20-9%20%5C,%20%7By%7D%20%5Chspace%7B2em%7D%20y(%202%20)=%20-%5Cfrac%7B1%7D%7B8%7D" alt="3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}" title="3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}" data-latex="3 \, {y'} t = -9 \, {y} \hspace{2em} y( 2 )= -\frac{1}{8}">
</p>
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<response_label ident="answer1" rshuffle="No"/>
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<div class="exercise-answer">
<h4>Partial Answer:</h4>
<p style="text-align:center;">
<img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?{y} = -\frac{1}{t^{3}}" alt="{y} = -\frac{1}{t^{3}}" title="{y} = -\frac{1}{t^{3}}" data-latex="{y} = -\frac{1}{t^{3}}"/>
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<h4>Partial Answer:</h4>
<p style="text-align:center;">
<img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?%7By%7D%20=%20-%5Cfrac%7B1%7D%7Bt%5E%7B3%7D%7D" alt="{y} = -\frac{1}{t^{3}}" title="{y} = -\frac{1}{t^{3}}" data-latex="{y} = -\frac{1}{t^{3}}">
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