0012.ptx

<exercise masterit-seed="0061" 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> -6 \, {y} = -3 \, {y'} + 27 \, e^{\left(5 \, t\right)} </me>
  </statement>
  <answer>
    <me> {y} = k e^{\left(2 \, t\right)} + 3 \, e^{\left(5 \, t\right)} </me>
  </answer>
</exercise>