Inverse Laplace Transform of $$$\frac{2}{s^{2} + 3 s - 4}$$$

The calculator will try to find the Inverse Laplace transform of the function $$$F{\left(s \right)} = \frac{2}{s^{2} + 3 s - 4}$$$.

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Find $$$\mathcal{L}^{-1}_{s}\left(\frac{2}{s^{2} + 3 s - 4}\right)$$$.


The Inverse Laplace transform of $$$\frac{2}{s^{2} + 3 s - 4}$$$A is $$$\frac{2 e^{t}}{5} - \frac{2 e^{- 4 t}}{5}$$$A.