# Thread: Inverse Laplace Transform: 1/Sqrt[s-a]

1. ## Inverse Laplace Transform: 1/Sqrt[s-a]

How do I find the inverse Laplace transform of 1/Sqrt[s-a] ?

I'm completely stuck on this problem because I'm not even sure what transformation properties I should use to begin with.

Thanks.

How do I find the inverse Laplace transform of 1/Sqrt[s-a] ?

I'm completely stuck on this problem because I'm not even sure what transformation properties I should use to begin with.

Thanks.
You look it up in a table of standard forms:

$\mathcal{L} \left(\frac{t^{n-1}e^{at}}{\Gamma (n)} \right) = \frac{1}{(s-a)^n}, \ n>0$

RonL

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# 1/(s-1)sqrt s laplace inverse

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