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<item ident="F3-6294" title="F3 | Techniques for linear IVPs | ver. 6294">
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          <p>
            <strong>F3.</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?5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2" alt="5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2" title="5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2" data-latex="5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2"/>
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  &lt;p&gt;
    &lt;strong&gt;F3.&lt;/strong&gt;
  &lt;/p&gt;
  &lt;p&gt;Find the solution to the given IVP.&lt;/p&gt;
  &lt;p style="text-align:center;"&gt;
    &lt;img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?5%20%5C,%20%7By%7D%20=%2012%20%5C,%20t%5E%7B2%7D%20+%20t%20%7By'%7D%20%5Chspace%7B2em%7D%20y(%20-1%20)=%202" alt="5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2" title="5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2" data-latex="5 \, {y} = 12 \, t^{2} + t {y'} \hspace{2em} y( -1 )= 2"&gt;
  &lt;/p&gt;
&lt;/div&gt;

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    <response_str ident="response1" rcardinality="Single">
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        <response_label ident="answer1" rshuffle="No"/>
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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?{y} = 2 \, t^{5} + 4 \, t^{2}" alt="{y} = 2 \, t^{5} + 4 \, t^{2}" title="{y} = 2 \, t^{5} + 4 \, t^{2}" data-latex="{y} = 2 \, t^{5} + 4 \, t^{2}"/>
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  &lt;h4&gt;Partial Answer:&lt;/h4&gt;
  &lt;p style="text-align:center;"&gt;
    &lt;img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?%7By%7D%20=%202%20%5C,%20t%5E%7B5%7D%20+%204%20%5C,%20t%5E%7B2%7D" alt="{y} = 2 \, t^{5} + 4 \, t^{2}" title="{y} = 2 \, t^{5} + 4 \, t^{2}" data-latex="{y} = 2 \, t^{5} + 4 \, t^{2}"&gt;
  &lt;/p&gt;
&lt;/div&gt;

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