Consider a "2 mass - 3 spring - 3 damping system" shown in the figure. The differential equations of the mathematical model are obtained as, mi dx dt dxz dt + (b + b) dx m. dt with the initial conditions of - b . dx1 dxz dt dt - b - . . + (b + b3) dx2 dt m 100 m OC Your Excel file should have explanations also. +(k+k) x-k x2 = 0 . -K X + (K + K3) x = 0 x (0) > 0, x (0) > 0, x (0) = 0, x (0) = 0 Decide about the parameters of this system and the initial positions of the masses by yourself. Numerically obtain the response of this system by using Runge-Kutta method for 0 t 10 s time period with 4t = 0.01 s (by using Microsoft Excel). Plot the positions and speeds of the masses with respect to time. Hint: You should have 4 first order differential equations from the given ones. Use Runge-Kutta equations in the vectoral format by taking Y