16s Ans. 1) f(t) = 4t sin 2t (s2 + 4)2 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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C.)

MULTIPLICATION BY POWERS OF t
Find the Laplace transforms of the following functions:
16s
Ans.
1) f(t) = 4t sin 2t
(s? + 4)2
96s(s? – 1)
(s² + 1)ª
Ans.
2) f(t) = 4t3 sin t
6s4 – 36s? + 6
(s? + 1)4
Ans.
3) f(t) = t³ cos t
= t° cos
Transcribed Image Text:MULTIPLICATION BY POWERS OF t Find the Laplace transforms of the following functions: 16s Ans. 1) f(t) = 4t sin 2t (s? + 4)2 96s(s? – 1) (s² + 1)ª Ans. 2) f(t) = 4t3 sin t 6s4 – 36s? + 6 (s? + 1)4 Ans. 3) f(t) = t³ cos t = t° cos
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