0006.ptx

<exercise masterit-seed="5020" masterit-slug="D3" masterit-name="Inverse Laplace transforms">
  <statement>
    <p>
          Explain how to use convolution along with the formula
          <m>\mathcal{L}\{e^{at})=\frac{1}{s-a}</m>to find the following
          inverse Laplace transform:
      </p>
    <me>
          \mathcal{L}^{-1}\left\{ \frac{3}{2 \, {\left(s + 6\right)} {\left(s + 2\right)}} \right\}
      </me>
  </statement>
  <answer>
    <me> \frac{3}{8} \, e^{\left(-2 \, t\right)} - \frac{3}{8} \, e^{\left(-6 \, t\right)} </me>
  </answer>
</exercise>