how to solve?

1. Two masses, ma=1kg and my = 2kg are connected by two different springs with spring constants ka = 3N/m and k, = 2N/m as in the Figure. Suppose at t = 0, ma is displaced a distance To = lem from Pa and ma is displaced a distance It - 2cm from P and both masses are released from rest. Assume no friction or external forces. a) (10 points) Find the equations of motion, In(t) and Is(t) b) (20 points) Find the eigenvalues, also called the normal mode frequencies P. c) (10 points) Identify the solution of these equations given the initial conditions