determine the inverse Laplace transform of the function. L^{-1}\{R(s)\}=L^{-1}\{\frac{7}{(s+3)(s-3)}\}

amanf 2021-09-18 Answered

determine the inverse Laplace transform of the function.
L1{R(s)}=L1{7(s+3)(s3)}

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Expert Answer

ensojadasH
Answered 2021-09-19 Author has 100 answers

Step 1
Given function is,
R(s)=7(s+3)(s3)
This can be re-written as,
R(s)=76[1s31s+3]
Step 2
Inverse Laplace is given by,
L1{1s+a}=eat and L1{1sa}=eat
Step 3
Hence, Laplace inverse of the given function is,
L1{R(s)}=76[L1{[1s3]}L1{1s+3}]
=76(e3te3t)

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