0002.ptx

<exercise masterit-seed="2716" 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> 12 \, {y} = -3 \, {y'} - 6 \, e^{\left(-5 \, t\right)} </me>
  </statement>
  <answer>
    <me> {y} = k e^{\left(-4 \, t\right)} + 2 \, e^{\left(-5 \, t\right)} </me>
  </answer>
</exercise>