Compute the inverse Laplace transform:

$\displaystyle \mathcal{L}^{\text{-}1}\,\biggl\lbrace \frac{3s+4}{s^{2}+s-6}e^{-2s} \biggr\rbrace =$

    (Notation: write u(t-c) for the Heaviside step function $u_c(t)$ with step at $t=c$.)

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Hint: