AA3-9.ptx

<exercise checkit-seed="0009" checkit-slug="AA3" checkit-title="Euler's Method">
  <statement>
    <p>
      Show how to use Euler's method with two steps to approximate
      <m>x(0.60)</m> given the following
      IVP.
    </p>
    <me>
        x'=-3 \, t^{3} + 3 \, t x^{2} + 2;\qquad
        x(0)=-1
    </me>
  </statement>
  <answer>
    <ul>
            <li>
                <m>x(0.30)\approx -0.400</m>
            </li>
            <li>
                <m>x(0.60)\approx 0.218</m>
            </li>
    </ul>
  </answer>
</exercise>