Oh, I understand! If I change the first t to t-1, it changes the equation completely. So I just leave it as is and calculate its Laplace transform as 1/s^2, and continue from there, correct?
Actually, that's what I want to know; whether or not I need to change the first t to t-1... Are you suggesting that I don't need to change this first t?
For the second half, my full working was:
tH(t-1) = [(t-1)+1]H(t-1) --> expand...
= (t-1)H(t-1) + H(t-1)
This is the same process...
Homework Statement
I need to solve the ODE y''-y = t - tH(t-1); y(0)=y'(0)=0
Homework Equations
-
The Attempt at a Solution
I'm fine with the process of solving the ODE, but I need a little help regarding the first t. From what I understand from lectures, all of the 't' terms need to be in...