Laplace transform

  • Thread starter jwang34
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Homework Statement


Given f(t)= 2 if 0<=t<1, and t if t>=1 I need to find the laplace transform.

Homework Equations


Using the second shifting theorem:
f(t)= 2(1-u(t-1))+t(u(t-1)), which is the heaviside function.

The Attempt at a Solution



The first term, I understand. It is 2-2u(t-1) which I got the transform to be:
(2/s)-(2/s)(e^-s). The second term I'm a little fuzzy. I think I need to shift the t, so I guess I would have (t-1)u(t-1). But I'm not sure if this is right. So any help is greatly appreciated.
 

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