+ 1 The motion of two masses m1 and m2 vibrating on coupled springs, neglecting damping and spring masses, is governed by: m, -kay + k ( 4 ) may = -K.C4-10 where dots denote derivatives with respect to time, k1 and k2 are spring constants. Write this system as a matrix equation Y = AY and use the decoupling method to find Y if: (a) m1 = m2 = 1, k1 = 3, k2 = 2 and the initial conditions , are y1 (0) = 1, y2 (0) = 2, j10) = -216, y2 (0) = V6 (b) m1 = m2 = 1, k1 = 6, k2 = 4 and the initial conditions are yl(0) = y2(0) = 0, 1(0) = 12, 2 (0) = 2/2 = - - = - = = = = Draw a schematic diagram for the arrangement also, showing the connection between two masses and springs. You should be able to physically explain how the differential equation is formed from the diagram