2nd-order linear non-homogeneous equations: 1. Find the general solution to the differential equation y" - 2y' - 3y = 5 sin 8t. 2. Find the general solution to the differential equation y" = 9y+et+1. (If you are guessing the particular solution, and your first guess turns out non-sensible, then modify the guess by multiplying t².) 1 3. Find the general solution (for t> 0) to the differential equation ty" + 2ty' - 2y = 2 cost. 4. Solve the IVP " 4y" +9y=6t2+t-5 y(0) = 0 (3 (0) = –.