<item ident="F2-1846" title="F2 | Separation of variables | ver. 1846">
<itemmetadata>
<qtimetadata>
<qtimetadatafield>
<fieldlabel>question_type</fieldlabel>
<fieldentry>essay_question</fieldentry>
</qtimetadatafield>
</qtimetadata>
</itemmetadata>
<presentation>
<material>
<mattextxml>
<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?-2 \, {y}^{2} {y'} = -\frac{4 \, t}{{y}} - \frac{4}{{y}} \hspace{2em} y( 3 )= 3" alt="-2 \, {y}^{2} {y'} = -\frac{4 \, t}{{y}} - \frac{4}{{y}} \hspace{2em} y( 3 )= 3" title="-2 \, {y}^{2} {y'} = -\frac{4 \, t}{{y}} - \frac{4}{{y}} \hspace{2em} y( 3 )= 3" data-latex="-2 \, {y}^{2} {y'} = -\frac{4 \, t}{{y}} - \frac{4}{{y}} \hspace{2em} y( 3 )= 3"/>
</p>
</div>
</mattextxml>
<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?-2%20%5C,%20%7By%7D%5E%7B2%7D%20%7By'%7D%20=%20-%5Cfrac%7B4%20%5C,%20t%7D%7B%7By%7D%7D%20-%20%5Cfrac%7B4%7D%7B%7By%7D%7D%20%5Chspace%7B2em%7D%20y(%203%20)=%203" alt="-2 \, {y}^{2} {y'} = -\frac{4 \, t}{{y}} - \frac{4}{{y}} \hspace{2em} y( 3 )= 3" title="-2 \, {y}^{2} {y'} = -\frac{4 \, t}{{y}} - \frac{4}{{y}} \hspace{2em} y( 3 )= 3" data-latex="-2 \, {y}^{2} {y'} = -\frac{4 \, t}{{y}} - \frac{4}{{y}} \hspace{2em} y( 3 )= 3">
</p>
</div>
</mattext>
</material>
<response_str ident="response1" rcardinality="Single">
<render_fib>
<response_label ident="answer1" rshuffle="No"/>
</render_fib>
</response_str>
</presentation>
<itemfeedback ident="general_fb">
<flow_mat>
<material>
<mattextxml>
<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} = {\left(t^{2} + 2 \, t + 12\right)}^{\frac{1}{3}}" alt="{y} = {\left(t^{2} + 2 \, t + 12\right)}^{\frac{1}{3}}" title="{y} = {\left(t^{2} + 2 \, t + 12\right)}^{\frac{1}{3}}" data-latex="{y} = {\left(t^{2} + 2 \, t + 12\right)}^{\frac{1}{3}}"/>
</p>
</div>
</mattextxml>
<mattext texttype="text/html"><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?%7By%7D%20=%20%7B%5Cleft(t%5E%7B2%7D%20+%202%20%5C,%20t%20+%2012%5Cright)%7D%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D" alt="{y} = {\left(t^{2} + 2 \, t + 12\right)}^{\frac{1}{3}}" title="{y} = {\left(t^{2} + 2 \, t + 12\right)}^{\frac{1}{3}}" data-latex="{y} = {\left(t^{2} + 2 \, t + 12\right)}^{\frac{1}{3}}">
</p>
</div>
</mattext>
</material>
</flow_mat>
</itemfeedback>
</item>