<exercise masterit-seed="6873" 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> {y'} = 3 \, {y} + 14 \, e^{\left(-4 \, t\right)} </me>
</statement>
<answer>
<me> {y} = k e^{\left(3 \, t\right)} - 2 \, e^{\left(-4 \, t\right)} </me>
</answer>
</exercise>