Finish my homwork by reading post and do thesecond question by math lab

Engineering Mechanics: Dynamics 1. The cart has been pushed 1 m and then released where the mass of the cart is 10 kg and spring constant k=500 N/m. 1) Find the acceleration. 2) Find the ODE of the system. 3) Find the homogeneous and the particular solution when x(0)= ‐1 and v(0)=0. 4) Plot the general solution using MATLAB and show the frequency matches in numerical and analytical solutions. Note) Email the m‐file. Also include a figure, m code, and analytical solution in the written homework submission. Homework 12 Assigned on Thursday Nov. 5th 2015 Due Tuesday Nov. 10th 2015 Engineering Mechanics: Dynamics 2. Plot the general solution using MATLAB and show the frequency matches in numerical and analytical solution in prob. 1. Note) Email the m‐file. Also include a figure, m code, and analytical solution in the written homework submission.