The inverse Laplace transform of \(\frac{{{\omega _0}}}{{{{\left( {s + a} \right)}^2} + \omega _0^2}}\) is given by:

1
e-at cos (ω0t) u(t)
2
e-at sin (ω0t) u(t)
3
eat sin (ω0t) u(t)
4
eat cos (ω0t) u(t)

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