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