1. In the following exercises, solve the following integral or integrodifferential equations. Solutions are below.

Solutions:

rt a) f(t) + / (t 7)f(7)dr = t b) f(t) = te' + | Tf(t - T)dr c) f(t) + f(7)dr = 1 d) f(t) = 1+t- (t 7)f(r)dr 3 Jo e) y'(t) = 1 sin(t) - | y(r)dr, y(0) = 0