Determine whether the following IVPs are well-posed: (a) y'= y cost, 0t1, y(0) = 1 (b) y'= t 2 (sin (2t) - 2ty), 1 t 2, y(1) = 2 4t (c) y' = -ty+, 0t1, y(0) = 1 (d) y' = cos (yt), 0 t 1, y(0) = 1