Apply Theorem 2 to verify that cos kt s (s 2 k 2 ) THEOREM 2 Transforms of Periodic Functions Let f(t) be periodic with period p and piecewise continuous for t 0 Then the transform F(s) L f(t) exists for s 0 and is given by F(s) 1 P e 1 e ps e st f(t) dt (6)...

With ft cos kt and p give feat cos bt dt Lcos ...

Apply Theorem 2 to verify that {cos kt} = s/(s 2 + k 2 ). THEOREM

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Apply Theorem 2 to verify that ℒ {cos kt} = s/(s² + k²).

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Aug 17, 2023 03:38 AM

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Apply Theorem 2 to verify that {cos kt} = s/(s 2 + k 2 ). THEOREM

Question:

THEOREM 2 Transforms of Periodic Functions Let f(t) be periodic with period p and piecewise continuous for t≥ 0. Then the transform F(s) = L{f(t)} exists for s> 0 and is given by F(s) = = 1 - P₁ [ ² e-²₁ 1- e-ps e-st f(t) dt. (6)

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Differential Equations And Linear Algebra

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