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## Homework Statement

Using convolution theorem for Laplace theorem,, show that

## Homework Equations

inverse Laplace transform (1/(S^3/2*(s-1)) = (2*e^t)/Pi^1/2 intregral (from 0 to t) e^-x*x^1/2dx.

## The Attempt at a Solution

The inverse Laplace above is a product of 1/s^3/2 and 1/(s-1)

and both terms are the Laplace transform of 2/Pi^1/2*t^1/2 and e^t respectively.

changing variable t = u gives:2/Pi^1/2*u^1/2 and e^u

using convolution: integral (from 0 to infinity) e^-st integral (from 0 to t)

(2/Pi^1/2*u^1/2 )(e^u)du dt.

I don't know how to go about with the integral from here onwards..Help!