0010.qti

<item ident="F3-0945" title="F3 | Techniques for linear IVPs | ver. 0945">
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  <presentation>
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        <div class="exercise-statement">
          <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?0 = {y'} t + 2 \, {y} - \frac{2}{t} \hspace{2em} y( 1 )= 1" alt="0 = {y'} t + 2 \, {y} - \frac{2}{t} \hspace{2em} y( 1 )= 1" title="0 = {y'} t + 2 \, {y} - \frac{2}{t} \hspace{2em} y( 1 )= 1" data-latex="0 = {y'} t + 2 \, {y} - \frac{2}{t} \hspace{2em} y( 1 )= 1"/>
          </p>
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      <mattext texttype="text/html">&lt;div class="exercise-statement"&gt;
  &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?0%20=%20%7By'%7D%20t%20+%202%20%5C,%20%7By%7D%20-%20%5Cfrac%7B2%7D%7Bt%7D%20%5Chspace%7B2em%7D%20y(%201%20)=%201" alt="0 = {y'} t + 2 \, {y} - \frac{2}{t} \hspace{2em} y( 1 )= 1" title="0 = {y'} t + 2 \, {y} - \frac{2}{t} \hspace{2em} y( 1 )= 1" data-latex="0 = {y'} t + 2 \, {y} - \frac{2}{t} \hspace{2em} y( 1 )= 1"&gt;
  &lt;/p&gt;
&lt;/div&gt;

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    </material>
    <response_str ident="response1" rcardinality="Single">
      <render_fib>
        <response_label ident="answer1" rshuffle="No"/>
      </render_fib>
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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{2}{t} - \frac{1}{t^{2}}" alt="{y} = \frac{2}{t} - \frac{1}{t^{2}}" title="{y} = \frac{2}{t} - \frac{1}{t^{2}}" data-latex="{y} = \frac{2}{t} - \frac{1}{t^{2}}"/>
            </p>
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        <mattext texttype="text/html">&lt;div class="exercise-answer"&gt;
  &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=%20%5Cfrac%7B2%7D%7Bt%7D%20-%20%5Cfrac%7B1%7D%7Bt%5E%7B2%7D%7D" alt="{y} = \frac{2}{t} - \frac{1}{t^{2}}" title="{y} = \frac{2}{t} - \frac{1}{t^{2}}" data-latex="{y} = \frac{2}{t} - \frac{1}{t^{2}}"&gt;
  &lt;/p&gt;
&lt;/div&gt;

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</item>