<exercise masterit-seed="6322" masterit-slug="C2" masterit-name="Non-homogeneous first-order linear ODE">
<statement>
<p>Explain how to find the general solution to the given ODE.</p>
<me> 32 \, \cos\left(-4 \, t\right) e^{t} = 4 \, {y} - 4 \, {y'} </me>
</statement>
<answer>
<me> {y} = k e^{t} + 2 \, e^{t} \sin\left(-4 \, t\right) </me>
</answer>
</exercise>
