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Laplace transform of Power function

POSTED BY: Mohammed Sadeq
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What result are you expecting for the Inverse Laplace Transform of 1/[s^2*(a s^(-b-1) Gamma(b+1)+c/s)]?

It doesn't show a result becuase it doesn't find any result.

Are you sure you're not looking for the inverse transform of (1/s^2)(a s^(-b-1) Gamma(b+1)+c/s) instead? Are you looking for the convolution of t and a*t^b + c?
POSTED BY: Sean Clarke

Hi,

Thanks Sean for replying..

Actually, I am trying to follow another example I found. The example is trying to solve the below equation using laplace transform:

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So, he got this:

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By using this formula:

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he became able to identify this:

enter image description here

And using the inverse laplace transform he got this:

enter image description here

Then he compare it with the original relaxation modulus:

enter image description here

To identify each part of the equation as follows:

enter image description here

So, when I tried to follow the above steps, I couldn't inverse the results from laplace transform after multiplying by 1/s^2.

I appreciate your help and explaination..

POSTED BY: Mohammed Sadeq
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