find the Laplace transform of f (t). f(t)=\frac{e^{3t}-1}{1}

Tabansi 2021-09-11 Answered
find the Laplace transform of f (t).
f(t)=e3t11
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Expert Answer

Margot Mill
Answered 2021-09-12 Author has 106 answers

Given
The given function is f(t)=e3t11
formula used
L{f(t)t}=sF(ω)dω
by using the above formula
L{e3t1t}=sL{e3t1}dω
=s{1ω31ω}dω
=[ln(ω3)ln(ω)]s
=[ln(ω3ω)]s
on further simplification,
L{e3t1t}=0ln(s3s)
=[ln(s3)ln(s)]
=ln(s3)+ln(s)
=ln(s)ln(s3)

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