582-3s + 8 Find the inverse Laplace transform of F(s) s4 + 5s2 + 4 (1) First find the partial fraction decomposition As + B Cs + D F(s) = /(s +1)+ /( +4) %3D (s2 +1) (s2 + 4) (2) Next find the inverse Laplace transform f(t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5s2 – 3s + 8
s4 + 5s? + 4
Find the inverse Laplace transform of F(s)
%3D
(1) First find the partial fraction decomposition
Cs + D
(s2 + 4)
As + B
F(s) =
7( +1)+
/( + 4)
%3D
(s? +1)
(2) Next find the inverse Laplace transform
f(t)
!!
Transcribed Image Text:5s2 – 3s + 8 s4 + 5s? + 4 Find the inverse Laplace transform of F(s) %3D (1) First find the partial fraction decomposition Cs + D (s2 + 4) As + B F(s) = 7( +1)+ /( + 4) %3D (s? +1) (2) Next find the inverse Laplace transform f(t) !!
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