Find Laplace transform Lleft{(t-3)^2u(t-3)right}

BolkowN 2021-02-16 Answered
Find Laplace transform
L{(t3)2u(t3)}
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Expert Answer

crocolylec
Answered 2021-02-17 Author has 100 answers
Step 1
We can use following concepts to find laplace transform of given function:
Concept
if L[F(t)]=f(s)
then L[F(ta)u(ta)]=easf(s)(formula)
Step 2
t[tn]=(n!)sn+1
we have to find
L[(t3)2u(t3)]
L[t2]=2!s2+1
L[t2]=2s3
so L[(t3)2u(t3)]=e3s2s3 by(1) (a=3)
Hence L[(t3)2u(t3)]=e3s2s3
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