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**1. Homework Statement**

(6-t)heaviside(t-2)

This is just one term of the real problem I'm working, but it will serve to help me figure this out.

**2. Homework Equations**

**3. The Attempt at a Solution**

http://www.wolframalpha.com/input/?i=laplace+transform+{(6-t)heaviside(t-2)}

I really, REALLY don't understand how to do this, at all.

My textbook makes the following claims:

heaviside(t-c) laplace transform: e^(-c)/s

heaviside(t-c)f(t-c) laplace transform: e^(-cs)F(s) where F denotes the transform of f

Ok, fine. Apparently I am not very math literate because that makes me do the following:

(6-t)heaviside(t-2) = (4-(t-2))heaviside(t-2) = 4heaviside(t-2) - (t-2)heaviside(t-2)

By the rules above, the laplace transform I want to say is:

4e^(-2s)/s - e^(-2s)(1/s^2 - 2/s)

Which is wrong. I have NO idea what to do with this, I don't understand what these rules are telling me to do.

Thanks for any advice.

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