1. Consider the system described by the following first order differential equation y = -2y + 10u. (a) (2pt) Using the "ad-hoc" approach (generate a particular solution first and then add a homogeneous solution with a "free" parameter a such that the total solution satisfies the given initial condition), compute the total solution for u(t) = et for t 2 0, y(0) = 1. (b) (2pt) Using the "ad-hoc" approach, compute the total solution for u(t) = sint for t 2 0, y(0) = -1