y'' + y = delta(t-2*pi)
The Attempt at a Solution
I have solved this using laplace transforms.
Y = e^(-2*pi*s)/(s^2 + 1) + 10s/(s^2 + 1)
y = sint*u(t - 2*pi) + 10 *cost
what I don't understand is this function is not definied for t<0. According to my book, the answer is:
y = 10 cos t if 0<t<2*pi and y = 10cost + sint if t>2*pi
Why is this?