<exercise checkit-seed="0001" 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} - 3 \, t x - 2;\qquad
x(-1)=-2
</me>
</statement>
<answer>
<ul>
<li>
<m>x(-0.70)\approx -3.20</m>
</li>
<li>
<m>x(-0.40)\approx -5.23</m>
</li>
</ul>
</answer>
</exercise>