Consider the initial value problem (a) Find the solution of the initial value problem: y(t) e (a-3-4a)-(-3- (-3-4a) 5 5 (b) Find a so that the solution approaches zero as t . a= Consider the differential equation dy dy 3 4y = 0, y(0) = a, y'(0) = -5 dt2 dt y" (2a 10)y' + a(a 10)y = 0 (a) Determine the values of a for which all solutions tend to zero as too. Interval: (b) Determine the values of a for which all (nonzero) solutions become unbounded as t o. Interval: Note: You can earn partial credit on this problem. Preview My Answers Submit Answers Find all values of k for which the function y= sin(kt) satisfies the differential equation "+6y= 0. Separate your answers by commas.