1. Pick out which functions are solutions to which differential equations. (Note: Functions may be solutions to more than one equation or to none; an equation may have more than one solution.) To receive full credit, you must find first and second derivatives of (I) - (V) and plug them into equations (a) - (e). dy (a) = y- 2r (1) y = 3x - 1 (b) xy' - y =1 (II) y = sin(3x) + cos(3x) (c) dur2 = 9y (III) y = 5ex + 2x + 2 day (d) 72 -9y (IV) y = 3x - 2x +7 (e) " - 3y' = 6 (V) y = e-3x 2. True or False: y = eke is the general solution to the differential equation y' = ky. To receive full points, you must explain your answer and/or include a counterexample