Inverse Laplace Transform of $$$\frac{1}{\sqrt{s} \left(s + 1\right)}$$$

The calculator will try to find the Inverse Laplace transform of the function $$$F{\left(s \right)} = \frac{1}{\sqrt{s} \left(s + 1\right)}$$$.

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Your Input

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

Answer

The Inverse Laplace transform of $$$\frac{1}{\sqrt{s} \left(s + 1\right)}$$$A is $$$- i e^{- t} \operatorname{erf}{\left(i \sqrt{t} \right)}$$$A.


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