How would you find the inverse Laplace transformation of (3s+4)/(s^2−16) when s>4?

Jacoby Erickson 2022-10-15 Answered
How would you find the inverse Laplace transformation of 3 s + 4 s 2 16 when s>4?
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Answers (1)

Jean Deleon
Answered 2022-10-16 Author has 14 answers
Hint:
Write the partial fraction fraction expansion as:
(1) 3 s + 4 s 2 16 = 1 s + 4 + 2 s 4
Now, take the inverse Laplace of each of the terms on the right-hand-side (RHS) of (1).
We have for s>a:
L 1 ( 1 s a ) = e a t
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