Solve for the inverse Laplace Transform of 4 F(s) = (s+ 1)(s? + 4s + 13) O f(t) = et -0-2"cos 3t 2 -2t sin 3t a. e 5 5 15 b. 2 f(t) le-t - e-2tcos 3t - e-2tsin 3t) Fle) - e -etcos 3t - tsin 3t fit) = ert-등c ' f(t) 2 @2t sin 3t 15 2 2 -Cos 3t d. 15 sin 3t 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Question
Solve for the inverse Laplace Transform of
4
F(s) =
(s+ 1)(s? + 4s + 13)
2
e-2°cos 3t
5
2
e-2tsin 3t
15
a.
'f(t)
5
b.
2
f(t)
le-t - e-2tcos 3t - e-2tsin 3t)
O pe) = e -cos 3t -esin 3t
2 @2t sin 3t
15
' f(t)
fit) = ert-등c
2
2
-Cos 3t
d.
15
sin 3t
5
Transcribed Image Text:Solve for the inverse Laplace Transform of 4 F(s) = (s+ 1)(s? + 4s + 13) 2 e-2°cos 3t 5 2 e-2tsin 3t 15 a. 'f(t) 5 b. 2 f(t) le-t - e-2tcos 3t - e-2tsin 3t) O pe) = e -cos 3t -esin 3t 2 @2t sin 3t 15 ' f(t) fit) = ert-등c 2 2 -Cos 3t d. 15 sin 3t 5
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