Find the inverse laplace of F (s) = %3D (s2+a²)(s²+b²) consider a? + b°, ab #0 a sin at+b sin bt O f(t) = %3D O f (t) = cos at-cos bt %3D O f (t) = cos at+cos bt %3D O f (t) = a sin at-b sin bt %3D O f (t) : b sin at-a sin bt %3D ab(-a) O f(t) = b sin at+a sin bt %3D ab (8 -a?)

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 the inverse laplace of
F (s) =
(s²+a²) (s²+b²)
consider
a² + b?, ab # 0
a sin at+b sin bt
f (t):
%3D
Of (t) =
cos at-cos bt
%3D
2-a²
cos at+cos bt
O f(t) =
%3D
O
f (t) =
a sin at-b sin bt
a2-
b sin at-a sin bt
O f(t)
%3D
ab(b-a?)
b sin at+a sin bt
O f (t) =
ab (3² -a²)
Transcribed Image Text:Find the inverse laplace of F (s) = (s²+a²) (s²+b²) consider a² + b?, ab # 0 a sin at+b sin bt f (t): %3D Of (t) = cos at-cos bt %3D 2-a² cos at+cos bt O f(t) = %3D O f (t) = a sin at-b sin bt a2- b sin at-a sin bt O f(t) %3D ab(b-a?) b sin at+a sin bt O f (t) = ab (3² -a²)
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