Explanation The given function is s e − π 2 s s 2 + 4 . From inverse form of Second Translation theorem, if f ( t ) = L − 1 { F ( s ) } and a > 0 , then L − 1 { e − a s F ( s ) } = f ( t − a ) U ( t − a ) . Here, F ( s ) = s s 2 + 4 and a = π 2 . Therefore, L − 1 { F ( s ) } = L − 1 { s s 2 + 4 }

6th Edition

ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Chapter 4.3, Problem 46E

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The inverse Laplace transformation of the given function.

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Chapter 4.3, Problem 45E

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The inverse Laplace transformation of the given function.

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