The Inverse Laplace Transform of the function F(s) = (1/s^3) * e^(-s) is * O (1/6) (t-1)^3 * u(t-1) * O (1/2) (t-1)^2* u(t-1) * O (1/2) (t+1)^2* u(t-1) O (1/2)*(t-1)^2* u(t-2) O (1/2)*t^2* u(t-1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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The Inverse Laplace Transform of the function F(s) = (1/s^3) * e^(-s) is
*
O (1/6) (t-1)^3 * u(t-1)
*
O (1/2) (t-1)^2* u(t-1)
*
O (1/2) (t+1)^2* u(t-1)
O (1/2)*(t-1)^2* u(t-2)
O (1/2)*t^2* u(t-1)
Transcribed Image Text:The Inverse Laplace Transform of the function F(s) = (1/s^3) * e^(-s) is * O (1/6) (t-1)^3 * u(t-1) * O (1/2) (t-1)^2* u(t-1) * O (1/2) (t+1)^2* u(t-1) O (1/2)*(t-1)^2* u(t-2) O (1/2)*t^2* u(t-1)
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