Give the inverse Laplace transform of -25 + (s – 4) e +9 F(s) = as a function of x. Note: The function u below is the unit step function, which is also known as the Heaviside function. a) O f(x) = -2 cos(3 x) – 4(x – T) cos( 3x) + 4 u(x- 7) sin(3x) b) O f(x) = -2 cos( 3 x) + u(x - a) cos( 3 x) + 5 -(x- x) sin(3x) 3 f(x) =2 sin(3x) + 3u(x- n) cos(3 x) + 2u(x – n) sin(3x) f(x) =2 sin(3x) – 3 u(x – 1) cos(3x) + 5 (x-x) sin(3x) 5 4 (x – T) sin (3x) -3x f(x) = -2 e3*+ u(x – n) cos(3 x) + 3 f) O None of the above.
Give the inverse Laplace transform of -25 + (s – 4) e +9 F(s) = as a function of x. Note: The function u below is the unit step function, which is also known as the Heaviside function. a) O f(x) = -2 cos(3 x) – 4(x – T) cos( 3x) + 4 u(x- 7) sin(3x) b) O f(x) = -2 cos( 3 x) + u(x - a) cos( 3 x) + 5 -(x- x) sin(3x) 3 f(x) =2 sin(3x) + 3u(x- n) cos(3 x) + 2u(x – n) sin(3x) f(x) =2 sin(3x) – 3 u(x – 1) cos(3x) + 5 (x-x) sin(3x) 5 4 (x – T) sin (3x) -3x f(x) = -2 e3*+ u(x – n) cos(3 x) + 3 f) O None of the above.
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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Transcribed Image Text:Give the inverse Laplace transform of
-2s + (s – 4) e"
+9
F(s) =
as a function of x.
Note: The function u below is the unit step function, which is also known as the Heaviside function.
a)
f(x) = -2 cos(3x) – u(x - 1) cos(3 x) +
4
u(x – 1) sin(3x)
b) O f(x) = -2 cos( 3 x) + u(x – a) cos( 3 x) +
5
-(x- x) sin(3 x)
3
f(x) =2 sin(3x) + 3u(x- n) cos(3 x) + 2u(x – n) sin(3x)
f(x) =2 sin(3x) - 3u(x - 1) cos( 3x) +
5
- 2(x- 1) sin(3 x)
5
u(x– 1) sin (3 x)
-3x
f(x) = -2 e3*+ u(x – n) cos(3 x) +
3
f) O None of the above.
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