0007.ptx

<exercise masterit-seed="5831" 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> 18 \, t e^{\left(3 \, t\right)} - {y''} + {y'} - 15 \, e^{\left(3 \, t\right)} = -12 \, {y} </me>
  </statement>
  <answer>
    <me> {y} = k_{2} e^{\left(4 \, t\right)} - 3 \, t e^{\left(3 \, t\right)} + k_{1} e^{\left(-3 \, t\right)} </me>
  </answer>
</exercise>