Consider the system of differential equations (a) Diagram an arrangement of coupled linear oscillators (masses and springs) that could be described by this system of equations (b) Write the spring matrix K for this system (c) If m1 = 2, m2 = 1, m3 = 3 kg, and k1 = 103,k2 = k3 = k4 = 2x 103 N m-1, use Matlab to find the modes of oscillation for the system and the frequency and period of each. (Note: the period is 2 divided by the frequency.) (d) If you double all the spring stiffnesses k, how does your answer change