0005.qti

<item ident="X1-3192" title="X1 | Linear ODE systems | ver. 3192">
  <itemmetadata>
    <qtimetadata>
      <qtimetadatafield>
        <fieldlabel>question_type</fieldlabel>
        <fieldentry>essay_question</fieldentry>
      </qtimetadatafield>
    </qtimetadata>
  </itemmetadata>
  <presentation>
    <material>
      <mattextxml>
        <div class="exercise-statement">
          <p>
            <strong>X1.</strong>
          </p>
          <p>Find the solution to the given system of IVPs.</p>
          <p style="text-align:center;">
            <img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?-{x'} = -{y} - 4 \, {x} \hspace{2em}x(0)= -2" alt="-{x'} = -{y} - 4 \, {x} \hspace{2em}x(0)= -2" title="-{x'} = -{y} - 4 \, {x} \hspace{2em}x(0)= -2" data-latex="-{x'} = -{y} - 4 \, {x} \hspace{2em}x(0)= -2"/>
          </p>
          <p style="text-align:center;">
            <img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?7 \, {y} + 4 \, {x} = {y'} \hspace{2em}x(0)= -3" alt="7 \, {y} + 4 \, {x} = {y'} \hspace{2em}x(0)= -3" title="7 \, {y} + 4 \, {x} = {y'} \hspace{2em}x(0)= -3" data-latex="7 \, {y} + 4 \, {x} = {y'} \hspace{2em}x(0)= -3"/>
          </p>
        </div>
      </mattextxml>
      <mattext texttype="text/html">&lt;div class="exercise-statement"&gt;
  &lt;p&gt;
    &lt;strong&gt;X1.&lt;/strong&gt;
  &lt;/p&gt;
  &lt;p&gt;Find the solution to the given system of IVPs.&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?-%7Bx'%7D%20=%20-%7By%7D%20-%204%20%5C,%20%7Bx%7D%20%5Chspace%7B2em%7Dx(0)=%20-2" alt="-{x'} = -{y} - 4 \, {x} \hspace{2em}x(0)= -2" title="-{x'} = -{y} - 4 \, {x} \hspace{2em}x(0)= -2" data-latex="-{x'} = -{y} - 4 \, {x} \hspace{2em}x(0)= -2"&gt;
  &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?7%20%5C,%20%7By%7D%20+%204%20%5C,%20%7Bx%7D%20=%20%7By'%7D%20%5Chspace%7B2em%7Dx(0)=%20-3" alt="7 \, {y} + 4 \, {x} = {y'} \hspace{2em}x(0)= -3" title="7 \, {y} + 4 \, {x} = {y'} \hspace{2em}x(0)= -3" data-latex="7 \, {y} + 4 \, {x} = {y'} \hspace{2em}x(0)= -3"&gt;
  &lt;/p&gt;
&lt;/div&gt;

</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?x= -e^{\left(8 \, t\right)} - e^{\left(3 \, t\right)}" alt="x= -e^{\left(8 \, t\right)} - e^{\left(3 \, t\right)}" title="x= -e^{\left(8 \, t\right)} - e^{\left(3 \, t\right)}" data-latex="x= -e^{\left(8 \, t\right)} - e^{\left(3 \, t\right)}"/>
            </p>
            <p style="text-align:center;">
              <img style="border:1px #ddd solid;padding:5px;border-radius:5px;" src="https://latex.codecogs.com/svg.latex?y= -4 \, e^{\left(8 \, t\right)} + e^{\left(3 \, t\right)}" alt="y= -4 \, e^{\left(8 \, t\right)} + e^{\left(3 \, t\right)}" title="y= -4 \, e^{\left(8 \, t\right)} + e^{\left(3 \, t\right)}" data-latex="y= -4 \, e^{\left(8 \, t\right)} + e^{\left(3 \, t\right)}"/>
            </p>
          </div>
        </mattextxml>
        <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?x=%20-e%5E%7B%5Cleft(8%20%5C,%20t%5Cright)%7D%20-%20e%5E%7B%5Cleft(3%20%5C,%20t%5Cright)%7D" alt="x= -e^{\left(8 \, t\right)} - e^{\left(3 \, t\right)}" title="x= -e^{\left(8 \, t\right)} - e^{\left(3 \, t\right)}" data-latex="x= -e^{\left(8 \, t\right)} - e^{\left(3 \, t\right)}"&gt;
  &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?y=%20-4%20%5C,%20e%5E%7B%5Cleft(8%20%5C,%20t%5Cright)%7D%20+%20e%5E%7B%5Cleft(3%20%5C,%20t%5Cright)%7D" alt="y= -4 \, e^{\left(8 \, t\right)} + e^{\left(3 \, t\right)}" title="y= -4 \, e^{\left(8 \, t\right)} + e^{\left(3 \, t\right)}" data-latex="y= -4 \, e^{\left(8 \, t\right)} + e^{\left(3 \, t\right)}"&gt;
  &lt;/p&gt;
&lt;/div&gt;

</mattext>
      </material>
    </flow_mat>
  </itemfeedback>
</item>