Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Compute the inverse Laplace transform f(t) = L-¹[F(s)] of the following function: 1 s+o F(s) = -as - e-bs) where a, b, and o are constants. Hint: Recall that the following property holds for translated functions L[f(t-a)H(ta)] = e-saF (s), which implies that f(t) = L-1¹[e-sa F (s)] = f(t— a)H(t − x)
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Transcribed Image Text:Compute the inverse Laplace transform f(t) = L-¹[F(s)] of the following function: 1 s+o F(s) = -as - e-bs) where a, b, and o are constants. Hint: Recall that the following property holds for translated functions L[f(t-a)H(ta)] = e-saF (s), which implies that f(t) = L-1¹[e-sa F (s)] = f(t— a)H(t − x)
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Step 1: Define second translation property for inverse Laplace transform
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Step 2: Find the required inverse Laplace transform f(t)
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