<exercise checkit-seed="0007" checkit-slug="AA3" checkit-title="Euler's Method">
<statement>
<p>
Show how to use Euler's method with two steps to approximate
<m>x(2.6)</m> given the following
IVP.
</p>
<me>
x'=x^{3} + 2 \, t^{2} + 1;\qquad
x(2)=0
</me>
</statement>
<answer>
<ul>
<li>
<m>x(2.3)\approx 2.70</m>
</li>
<li>
<m>x(2.6)\approx 12.1</m>
</li>
</ul>
</answer>
</exercise>