Find the given inverse Laplace transform by finding the Laplace transform of the indicated function f. (Write your answer as a function of t.) 1 s² (s² + a²). f(t) = at sin(at)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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9.
Find the given inverse Laplace transform by finding the Laplace transform of the indicated function f. (Write your answer as a function of t.)
−1
 
1
s2(s2 + a2)
 
; f(t) = at − sin(at)
 
 
Find the given inverse Laplace transform by finding the Laplace transform of the indicated function f. (Write your answer as
a function of t.)
1
s² (s² + a²).
f(t) = at sin(at)
Transcribed Image Text:Find the given inverse Laplace transform by finding the Laplace transform of the indicated function f. (Write your answer as a function of t.) 1 s² (s² + a²). f(t) = at sin(at)
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