f(t) = 1²e-³1 cos 4t F(s) = F (s) = O O F (S) = F (s) = F (s) = 2s³ + 16s² 46s - 234 (s² + 6s+25)³ 2s³ + 14s² - 44s - 234 3 (s² +65 +25) ³ 2s3³ 18s² + 36s - 234 - 3 (s² + 6s+25) ³ 2s³ + 16s² - 36s - 234 (s² + 6s+25)³ 2s³ +12s² - 36s - 234 (s² +65 +25) ³ 188² 2,3 36s-234

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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Question
O
2s³ + 16s² - 44s 234.
(s² + 6s+25) ³
3
2s³ + 18s² - 42s - 234
3
(s² + 6s+25)
3
F (s) =
F(s) =
Transcribed Image Text:O 2s³ + 16s² - 44s 234. (s² + 6s+25) ³ 3 2s³ + 18s² - 42s - 234 3 (s² + 6s+25) 3 F (s) = F(s) =
Find the laplace transform of
f(t) = 1²e-³1 cos 4t
F (s) =
O
O
O
O
O
F (s) =
F(s) =
F(s) =
F (s) =
=
F (s)
2s3 + 16s² 46s - 234
-
(s² + 6s+25)³
2s³ + 14s² - 44s - 234
(s² + 6s+25)³
2s³ 18s² + 36s - 234
-
3
(s² +65 +25) ³
2s3³ + 16s² 36s - 234
-
3
(s² + 6s+25)³
2s³ +12s²36s - 234
(s² +6s+-25)³
2s³ + 18s²36s - 234
(s² + 6s+25) ³
Transcribed Image Text:Find the laplace transform of f(t) = 1²e-³1 cos 4t F (s) = O O O O O F (s) = F(s) = F(s) = F (s) = = F (s) 2s3 + 16s² 46s - 234 - (s² + 6s+25)³ 2s³ + 14s² - 44s - 234 (s² + 6s+25)³ 2s³ 18s² + 36s - 234 - 3 (s² +65 +25) ³ 2s3³ + 16s² 36s - 234 - 3 (s² + 6s+25)³ 2s³ +12s²36s - 234 (s² +6s+-25)³ 2s³ + 18s²36s - 234 (s² + 6s+25) ³
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