Problem 1: A mass-spring system, that satisfies the conditions y (0) =0.16 and y' (0) = 0.0, is described by a homogenous second-order linear ODE with constant coefficients as follows: day dy m- + b + ky = 0 dx2 dx Given that m = 10, k = 90, b may take two values 100 or 10. For each case, find: The particular solution. Hint: use the initial conditions to solve for the unknown coefficients. Determine which case is: overdamped, critically damped, or underdamped. . If possible, compute the damping ratio (c), the natural frequency (wn), and the damped frequency (wd)