8s+12 F(s) %3D s2+4s+29 a. f(t) = 8e2t cos 5t –e2t sin 5t c. f(t) = 8e2t cos 25t –e2t sin 25t %3D b. f(t) = 8e-2t cos 5t – e-2t sin 5t d. f(t) = 8e¬2t cos 25t – e-2t sin 25t

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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Evaluate the Inverse Laplace Transform of F(s) = (8s + 12) / (s^2 + 4s + 29).

8s+12
F(s)
s2 +4s+29
a. f(t) = 8e2t cos 5t –e2t sin 5t
b. f(t) = 8e-2t cos 5t –e-2t sin 5t d. f(t) = 8e-2t cos 25t – e-
c. f(t) = 8e2t cos 25t –e2t sin 25t
|
-2t
- -e
sin 25t
Transcribed Image Text:8s+12 F(s) s2 +4s+29 a. f(t) = 8e2t cos 5t –e2t sin 5t b. f(t) = 8e-2t cos 5t –e-2t sin 5t d. f(t) = 8e-2t cos 25t – e- c. f(t) = 8e2t cos 25t –e2t sin 25t | -2t - -e sin 25t
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