PROBLEM STATMENT The governing equation of motion of a single degree of freedom (SDOF) system is given by (assume the units are Newtons) 10x(0)+20x()+1500x()-20sin(25t)-10sin(1St)+20sin(21) and the initial conditions of the system are given as x(0)-0. I m, v(0) = 1.01 m/s. 1. Analytically obtain the total response (solution) of the system Using Matlab" or Excel* Gincluding VBA), obtain the total numerical solution (response) of the system for 0sts 20s 3. Plot the analytical response for 0 Sts 20s 4. Plot the total numerical solution (response) of the system for 0sts 20s 5. Plot both the total numerical solution (response) and the analytical solution (response) of the system for 0 S t3 20s on the same plot (graph). Note: If you are using excel, use Runge Kutta 4th order method. If you are using Matlab, used "ODE45" to solve