<exercise masterit-seed="1377" masterit-slug="C5" masterit-name="Non-homogeneous second-order linear ODE">
<statement>
<p>Explain how to find the general solution to the given ODE.</p>
<me> {y''} = -16 \, t e^{\left(3 \, t\right)} + {y} - 12 \, e^{\left(3 \, t\right)} </me>
</statement>
<answer>
<me> {y} = -2 \, t e^{\left(3 \, t\right)} + k_{2} e^{\left(-t\right)} + k_{1} e^{t} </me>
</answer>
</exercise>
