Give the inverse Laplace transform of -55 e -Ss 2 F(s) = 4 e 5: 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) =4 u(x – 5) x – 2– 3 4(x – 5) b) O (x) =-4(x - 5) x – 2+4(x – 5) c) 1х) -3и (х — 5) х— 2- и (х — 5) d) O f(x) =u(x - 5) x – 2+ 5u(x – 5) (x) =u(x – 5) x - 2- 9 4(x – 5) O O None of the above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Give the inverse Laplace transform of
-55
e
2
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) =4 u(x – 5) x – 2– 3 4(x – 5)
b) O (x) =-4(x – 5) x – 2+4(x – 5)
c) O f(x) =3u(x- 5)x- 2- u(x - 5)
d)
f(x) =u(x - 5) x- 2+5 u(x – 5)
e)
f(x) =u(x – 5) x - 2- 9 u(x – 5)
f)
None of the above.
Transcribed Image Text:Give the inverse Laplace transform of -55 e 2 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) =4 u(x – 5) x – 2– 3 4(x – 5) b) O (x) =-4(x – 5) x – 2+4(x – 5) c) O f(x) =3u(x- 5)x- 2- u(x - 5) d) f(x) =u(x - 5) x- 2+5 u(x – 5) e) f(x) =u(x – 5) x - 2- 9 u(x – 5) f) None of the above.
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