use contour integration to find the inverse Laplace transform of
i thought i should first split the fraction, so I got
but i tried to use partial fractions to split this fraction and it didn't work!
the inverse Laplace transform formula is
i'm not sure where to go from here!
The procedure for finding the inverse Laplace Tranform via a contour integration was found by the Britisch mathematician Thomas John l'Anson Bromwich about a centiry ago. The details are in...
The Complex inversion formula. Bromwich contour.
Kind regards