I want to find the laplace inverse of

Frances Simon 2022-04-06 Answered
I want to find the laplace inverse of
s32
the steps given in the solution manual are as follows:
2ππ2s32=2tπ
I know the first part 2π is obtained using the gamma function Γ(32) , but not quite sure how the rest is obtained.
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Answers (1)

cloirdxti
Answered 2022-04-07 Author has 12 answers
The laplace transform of t12 is Γ(32)s32 , so the inverse transform of s32 is t12Γ(32)
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