Find the laplace transform of 3t f(t) = t²e-³t sin 6t F (s) = = F (s) = · F (s) = · F (s) = = F (s) = · F (s) = · F (s) = · F (s) = 36s² +220s+112 (s²+6s+45)³ 36s² +212s+102 (s²+6s+45) ³ 3 36s² +212s+104 (s²+6s+45) ³ 36s² +210s+106 3 (s²+6s+45) ³ 36s² +214s+110 (s²+6s+45)³ 36s² +216s+108 (s²+6s+45)³ 36s² +216s+106 (s²+6s+45) ³ 36s² +196s+106 (s²+6s+45)³ 3

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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Find the laplace transform of
3t
ƒ (t) = t²e-³t sin 6t
F (s)
F (s)
F (s)
F (s)
F (s)
F (s)
F (s)
F (s)
-
=
36s² +220s+112
(s²+6s+45)³
36s² +212s+102
(s²+6s+45)³
36s² +212s+104
(s²+6s+45)³
36s² +210s+106
(s²+6s+45)³
36s² +214s+110
(s²+6s+45)³
36s² +216s+108
(s²+6s+45)³
36s² +216s+106
(s²+6s+45)³
36s² +196s+106
(s²+6s+45)³
Transcribed Image Text:Find the laplace transform of 3t ƒ (t) = t²e-³t sin 6t F (s) F (s) F (s) F (s) F (s) F (s) F (s) F (s) - = 36s² +220s+112 (s²+6s+45)³ 36s² +212s+102 (s²+6s+45)³ 36s² +212s+104 (s²+6s+45)³ 36s² +210s+106 (s²+6s+45)³ 36s² +214s+110 (s²+6s+45)³ 36s² +216s+108 (s²+6s+45)³ 36s² +216s+106 (s²+6s+45)³ 36s² +196s+106 (s²+6s+45)³
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