Differential Equations Ordinary and Partial Differential Equations Math Forum

 August 19th, 2019, 03:36 AM #1 Senior Member   Joined: Dec 2015 From: Earth Posts: 820 Thanks: 113 Math Focus: Elementary Math Laplace transform How can I find the n-th derivative of laplace integral ? Last edited by idontknow; August 19th, 2019 at 03:39 AM. August 19th, 2019, 07:10 PM #2 Senior Member   Joined: Jun 2019 From: USA Posts: 376 Thanks: 202 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 Tags laplace, transform Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post szz Differential Equations 1 November 2nd, 2014 04:18 AM capea Complex Analysis 2 August 23rd, 2013 11:43 AM Deiota Calculus 1 April 28th, 2013 11:28 AM SeriousTyro Real Analysis 0 March 8th, 2010 09:39 PM perelachess Applied Math 0 March 24th, 2009 07:10 AM

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