<exercise checkit-seed="0000" checkit-slug="AA3" checkit-title="Euler's Method">
<statement>
<p>
Show how to use Euler's method with two steps to approximate
<m>x(-1.6)</m> given the following
IVP.
</p>
<me>
x'=t^{3} - 2 \, x^{2} - 2;\qquad
x(-2)=2
</me>
</statement>
<answer>
<ul>
<li>
<m>x(-1.8)\approx -1.60</m>
</li>
<li>
<m>x(-1.6)\approx -4.19</m>
</li>
</ul>
</answer>
</exercise>