Math 2584 Spring 2017 Home Quiz 5 Drill section: Name: Signature: You have to show and justify all your work 1. (50 pts) Use the method of reduction of order to find a second solution of the ODE below, given that y1 = x3 is a solution. x2 y 00 + xy 0 9y = 0 x>0 2. (50 pts) Solve the IVP given below: 6y 00 + 13y 0 5y = 0 , y(0) = 0 , y 0 (0) = 17/6