Find the Laplace of the piecwise continuous function:
F(t)= t (when t<2)
= 8-3t (when 2<=t<3)
= t-4 ( when 3<=t<4)
= 0 (when 4<=t)
I want to use the heaviside function to see if i can apply it to other questions
The Attempt at a Solution
= t[H(t)] - t[H(t-2)] + (8-3t)[H(t-2)] - (8-3t)[H(t-3)] + (t-4)[H(t-3)] - (t-4)[H(t-4)]
Does this then equal to: Laplace of t times laplace of H(t) -lap(t)times(lap(H(t-2)) + etc...
because i did this but i got the wrong answer, i think im missing something.