<?xml version='1.0' encoding='UTF-8'?>
<exercise xmlns="https://spatext.clontz.org" version="0.0">
<statement>
<p>
Use an appropriate substitution
to show that all of the following ODEs may be transformed into
the same linear ODE.
(Do not fully solve these ODEs.)
</p>
<ol>
{{#odes}}
<li><m>{{ode}}</m></li>
{{/odes}}
</ol>
</statement>
<answer>
<ol>
{{#odes}}
<li><p>Let <m>{{sub}}</m>.</p></li>
{{/odes}}
</ol>
<p>
All ODEs transform into
<m>{{linear}}</m>.
</p>
</answer>
</exercise>