Find the Laplace Transform of f(t) = t e2t sin3t 6(s+2) F (s) ( (s+2) ² – 9) 2 A %3D 6(s– 2) F (s) = ( (s – 2) ²+9)2 %3D | 6s (c) F(s) %3D ( (s – 2) ²+9) ² s – 2 D F(s) = %3D ( (s – 2) ²+3) 2 B.

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
Find the Laplace Transform of f(t) = t e2t sin3t
6(s+2)
F (s)
( (s+2) ² – 9) 2
A
%3D
6(s– 2)
F (s) =
( (s – 2) ²+9)2
%3D
|
6s
(c) F(s)
%3D
( (s – 2) ²+9) ²
s- 2
D F(s) =
%3D
( (s – 2) ²+3) 2
Transcribed Image Text:Find the Laplace Transform of f(t) = t e2t sin3t 6(s+2) F (s) ( (s+2) ² – 9) 2 A %3D 6(s– 2) F (s) = ( (s – 2) ²+9)2 %3D | 6s (c) F(s) %3D ( (s – 2) ²+9) ² s- 2 D F(s) = %3D ( (s – 2) ²+3) 2
Find the Laplace Transform of cos(2t) + 7sin(2t)
14
A
+
s²+4
s2 – 4
s- 14
s2+2
S+ 14
C)
s²+4
14
D)
s2+4
s2+4
B.
Transcribed Image Text:Find the Laplace Transform of cos(2t) + 7sin(2t) 14 A + s²+4 s2 – 4 s- 14 s2+2 S+ 14 C) s²+4 14 D) s2+4 s2+4 B.
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