AA3-6.ptx

<exercise checkit-seed="0006" checkit-slug="AA3" checkit-title="Euler's Method">
  <statement>
    <p>
      Show how to use Euler's method with two steps to approximate
      <m>x(1.4)</m> given the following
      IVP.
    </p>
    <me>
        x'=3 \, t^{3} - 4 \, x^{2} + 1;\qquad
        x(1)=0
    </me>
  </statement>
  <answer>
    <ul>
            <li>
                <m>x(1.2)\approx 0.800</m>
            </li>
            <li>
                <m>x(1.4)\approx 1.52</m>
            </li>
    </ul>
  </answer>
</exercise>