1. The problem statement, all variables and given/known data Find the general solution to the differential equation y'' -16y = 0, where y is a function of x. Give initial conditions that would give a unique solution to the eqution. For the differential equation y'' - k2y = R(x), with k ≠ 0 a real constant, show that it has a particular solution: y1 = (1/k)∫R sinh[k(-t)] dt 2. Relevant equations 3. The attempt at a solution No problems with part (a) and finding homogeneous solution. I tried to avoid expanding the integral using integration by parts by differentiating both LHS and RHS w.r.t. x. But I'm missing a dR/dx term... Is there anything wrong with my integration for part (c) below?