<exercise masterit-seed="2016" 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> 0 = 36 \, t e^{\left(3 \, t\right)} + 3 \, {y} - {y''} - 2 \, {y'} + 24 \, e^{\left(3 \, t\right)} </me>
</statement>
<answer>
<me> {y} = 3 \, t e^{\left(3 \, t\right)} + k_{1} e^{\left(-3 \, t\right)} + k_{2} e^{t} </me>
</answer>
</exercise>
