Give the inverse Laplace Transform of 2 F(s) = - (s – 4) (² + 9) as a function of x.

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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Give the inverse Laplace Transform of
F(s) =
(s – 4) (s² +9)
as a function of x.
4
a) O y(x)
4
cos(3 x) +
16
sin(3 x)
25
25
75
4 x
b) O y(x) = e** sin(3 x) + e
cos(3 x)
8
y(x) = 25
4 x
e
cos(3 x) -
25
sin(3 x)
75
4
d) O y(x) =
** -5 cos( 3 x) - sin(3 x)
e
1
1
* e**+* cos(3x) +
4
sin (3 x)
4 x
e)
y(x) =
25
25
75
f) O None of the above.
Transcribed Image Text:Give the inverse Laplace Transform of F(s) = (s – 4) (s² +9) as a function of x. 4 a) O y(x) 4 cos(3 x) + 16 sin(3 x) 25 25 75 4 x b) O y(x) = e** sin(3 x) + e cos(3 x) 8 y(x) = 25 4 x e cos(3 x) - 25 sin(3 x) 75 4 d) O y(x) = ** -5 cos( 3 x) - sin(3 x) e 1 1 * e**+* cos(3x) + 4 sin (3 x) 4 x e) y(x) = 25 25 75 f) O None of the above.
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