1. The problem statement, all variables and given/known data A system is characterized by the equation y' + 3y = r' . When the input is r(t) = u(t) - u(t-1), find y(t) by taking the inverse Laplace transform of Y(s). 2. Relevant equations The Laplace transform integral The Laplace transform of a derivative sF(s) - f(0) The transfer function of the system Q = s/s+3 The impulse response qimp(t) = δ(t) - 3e-3t 3. The attempt at a solution I'm really not sure what to do here. It seems like it should be simple enough but I feel like I am not understanding the question correctly. Any hints?