<exercise masterit-seed="1061" 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> 48 \, e^{\left(4 \, t\right)} \sin\left(-4 \, t\right) - 16 \, {y} = -4 \, {y'} </me>
</statement>
<answer>
<me> {y} = k e^{\left(4 \, t\right)} - 3 \, \cos\left(-4 \, t\right) e^{\left(4 \, t\right)} </me>
</answer>
</exercise>
