Involves matlab

Problem 2: Consider the IVP that defined the displacement of a mass in the mass-spring system where M = 2, c = 0.1, r(t) = cost, but the spring stiffness is not constant and determined by the equation k = 104(1.1-exp(-ly!)). Physically, this case corresponds to a spring that becomes softer at small deformation rates (small ly'l) and stiffer at large deformation rates (large ly'l) a. Write the ODE that defines displacement y(t) in this system. b. Transform this equation into a fundamental system and write this system using matrix notation. c. Develop a MATLAB computer code for numerical solving the IVP based on the d. Solve the IVP numerically with initial conditions y'(0) 0 and y'(0) 0 and e. Plot solution of the problem in the form of function y(t). RK4 method. integration step size 0.01 for the time interval from O to 10