Find the Laplace transform of g(t) = 4cos(4t) - 9sin(42) + 2cos(10t) 9 A G(s) = s?+4 s²+16 s?+ 100 36 25 B G (s) = s²+4° s²+4' s²+ 100 4s 36 2s © G(s) s?+ 16 s²+ 16 s²+ 100 4s 2s D 9. + G(s) = s?+ 16 s²+ 16 s²+10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the Laplace transform of
g(t) = 4cos(4t) - 9sin(4t) + 2cos(10t)
9.
A
G(s) =
g?+ 100
+4
+16
36
2s
G(s) =
s+4
s+4
s2+ 100
4s
36
25
G(s) =
+
s2+ 16
s2+ 16
s2+ 100
9
2s
G(s) =
+
s2+ 16 s2+ 16
g2+ 10
Transcribed Image Text:Find the Laplace transform of g(t) = 4cos(4t) - 9sin(4t) + 2cos(10t) 9. A G(s) = g?+ 100 +4 +16 36 2s G(s) = s+4 s+4 s2+ 100 4s 36 25 G(s) = + s2+ 16 s2+ 16 s2+ 100 9 2s G(s) = + s2+ 16 s2+ 16 g2+ 10
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