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 August 19th, 2019, 02:36 AM #1 Senior Member   Joined: Dec 2015 From: somewhere Posts: 642 Thanks: 91 Laplace transform How can I find the n-th derivative of laplace integral ? Last edited by idontknow; August 19th, 2019 at 02:39 AM.
 August 19th, 2019, 06:10 PM #2 Senior Member   Joined: Jun 2019 From: USA Posts: 213 Thanks: 90 Do you mean the Laplace transform of $\displaystyle \frac{d^nf}{dt^2}$? If $\displaystyle f(t)\mapsto F(s)$, then $\displaystyle f^{(n)}(t) \mapsto s^nF(s)$ if $\displaystyle f(t)=0 ~\forall~ t<0$ (such as a step, ramp, etc.). In the general case, it maps to $\displaystyle s^nF(s) + s^{n-1}f(0) + s^{n-2}f'(0) + s^{n-2}f''(0) + … + f^{(n-1)}(0)$. Thanks from idontknow

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