AA3-8.ptx

<exercise checkit-seed="0008" checkit-slug="AA3" checkit-title="Euler's Method">
  <statement>
    <p>
      Show how to use Euler's method with two steps to approximate
      <m>x(-0.40)</m> given the following
      IVP.
    </p>
    <me>
        x'=-4 \, t^{2} x + 4 \, t^{2} - 3;\qquad
        x(-1)=0
    </me>
  </statement>
  <answer>
    <ul>
            <li>
                <m>x(-0.70)\approx 0.300</m>
            </li>
            <li>
                <m>x(-0.40)\approx -0.188</m>
            </li>
    </ul>
  </answer>
</exercise>