<?xml version='1.0' encoding='UTF-8'?>
<exercise xmlns="https://spatext.clontz.org" version="0.0">
<statement>
<p>
Explain why one of the following ODEs is exact, and why the other is not.
</p>
{{#odes}}<me>{{.}}</me>{{/odes}}
<p>
Then find an implicit solution for the exact ODE
that satisfies the initial value
<m>y({{t0}})={{y0}}</m>.
</p>
</statement>
<answer>
<p>The following ODE is exact.</p>
<me>{{exact_ode}}</me>
<p>
Its implicit solution satisfying the initial value is:
</p>
<me>{{solution}}</me>
</answer>
</exercise>