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?)
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?)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Question
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10c2959b-cd6b-40fe-aef8-4f8a92f460b1%2F8e6e78f9-4c7b-473f-940c-6ece0d46df0b%2Fbfercp_processed.jpeg&w=3840&q=75)
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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