a)Find the Laplace transform of the given function  g(t)= {0, 0 < t < 4 (t-4)^2, t ≥ 4 b) Find L^-1{1/(s-1)^2 using concolutions. c) Find L^-1{1/(s-1)^2 using partial fractions.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Pls answer all three parts it is one question

a)Find the Laplace transform of the given function 

g(t)=

{0, 0 < t < 4

(t-4)^2, t ≥ 4

b) Find L^-1{1/(s-1)^2 using concolutions.

c) Find L^-1{1/(s-1)^2 using partial fractions.

 

 

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