determine L^{-1}(F) F(s)=frac{4}{(s+2)^3}

Lewis Harvey 2021-01-19 Answered
determine L1(F)
F(s)=4(s+2)3
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Expert Answer

un4t5o4v
Answered 2021-01-20 Author has 105 answers
Step 1
Given Data
The function is F(s)=4(s+2)3
The general inverse transform rule is
L1(F(s))=f(t)
L1(F(sa))=eatf(t)
Step 2
The inverse Laplace transform of function F(s)=4(s+2)3 using the above expression is,
L1(F(s))=L1(4(s+2)3)
=e2tL1(4(s+22)3)
=e2tL1(4s3)
=e2t2t2
Hence the inverse Laplace transform of function F(s)=4(s+2)3 is e2t2t2
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