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I understand that. That is not the problem. Let me put it a little better. When you plug in the Laplace Transform you have to do a integration by parts, to take the derivative of the Laplace transform and get the derivative off the Laplace transform....
Thanks, I want to also know how to do this in mathematica. By hand it would take a long time, because we are working with letters and not numbers. I want to learn more about mathematica.