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Find f(t) by applying the inverse laplace of F(s). 8 3 1. G(s) =. 3s2 + 12 s2 - 49 1-3s 2. F(s) = hint: express the denominator in the form (s - a)2 + b2 by completing the square, then manipulate your numerator as (s-a) +b so you can work on the problem as s2 +8s + 21 the inverse of linear combination. 86s - 78 3. G(s) hint: apply partial fraction decomposition (s+3)(s – 4)(5s– 1)

Find f(t) by applying the inverse laplace of F(s). 8 3 1. G(s) =. 3s2 + 12 s2 - 49 1-3s 2. F(s) = hint: express the denominator in the form (s - a)2 + b2 by completing the square, then manipulate your numerator as (s-a) +b so you can work on the problem as s2 +8s + 21 the inverse of linear combination. 86s - 78 3. G(s) hint: apply partial fraction decomposition (s+3)(s – 4)(5s– 1)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find f(t) by applying the inverse laplace of F(s). 8 3 1. G(s) =. 3s2 + 12 s2 - 49 1-3s 2. F(s) = hint: express the denominator in the form (s - a)2 + b2 by completing the square, then manipulate your numerator as (s-a) +b so you can work on the problem as s2 +8s + 21 the inverse of linear combination. 86s - 78 3. G(s) hint: apply partial fraction decomposition (s+3)(s – 4)(5s– 1)
Transcribed Image Text:Find f(t) by applying the inverse laplace of F(s). 8 3 1. G(s) =. 3s2 + 12 s2 - 49 1-3s 2. F(s) = hint: express the denominator in the form (s - a)2 + b2 by completing the square, then manipulate your numerator as (s-a) +b so you can work on the problem as s2 +8s + 21 the inverse of linear combination. 86s - 78 3. G(s) hint: apply partial fraction decomposition (s+3)(s – 4)(5s– 1)
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