Inverse Laplace Transform of $$$\frac{s}{s^{2} + 4 s + 5}$$$
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Your Input
Find $$$\mathcal{L}^{-1}_{s}\left(\frac{s}{s^{2} + 4 s + 5}\right)$$$.
Answer
The Inverse Laplace transform of $$$\frac{s}{s^{2} + 4 s + 5}$$$A is $$$- 2 e^{- 2 t} \sin{\left(t \right)} + e^{- 2 t} \cos{\left(t \right)}$$$A.