find inverse Laplace transform of the given Function. L^(-1) frac(s-5)((s-5)^2-9)

Tabansi 2021-09-23 Answered
find inverse Laplace transform of the given Function
L1s5(s5)29
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Expert Answer

AGRFTr
Answered 2021-09-24 Author has 95 answers
Step 1
We have to find inverse Laplace transform of the given Function
Step 2
We have to find
L1[s5(s5)29]
Solution: L1[s5(s5)29]
By shifting theorem inverse Laplace Transform.
L1[F(sa)]=eatL1[F(s)]=eatf(t)
L1[s5(s5)29]=estL1[ss29](1)
L1[ss29]=L1[ss232]
=cosh(3t)[L1[ss2a2]=cosh(at)]
use this value in (1)
L1[s5(s5)29]=e5tcosh(3t)
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