Prove that if F(s) = L{f(t)} then L{t" f(t)} = (-1)" d"(F(3))ds

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Answered: Prove that if F(s) = L{f(t)} then L{t"…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 54E

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Prove that if F(s) = L{f(t)} then L{t" f(t)} = (-1)" d"(F(3)) ds