I am new to matlab and need help with a problem. we have tried several different methods and each time cant make sense of what is going on wrong " A mass spring motion is governed by the ordinary differential equation m(dx^2/dt^2) + b(dx/dt) + kx=F(t) , where m is the mass, b is the damping constant, k is the spring constant, and F(t) is the external force." Assume the following m=1 kg, k= 16 N/m, and F(t)=0, x(0)=0, x'(0)=0. Solve the ODE on the interval [0,20] for the following cases. a). b=0 -no damping b). b=2- under damping c). b=8 - critical damping d). b=10 - over damping 2. Set the damping constant equal to 0, b=0, and consider an agiing spring whose spring constant depends on time as follows k(t)=16e^-LT Predict the motion of the mass, i.e. show time plots and phase plots and discuss your results for the following cases. a. L=0 b. L=0.1 c. L=0.3 3. Set b = 1/5 k=1/5 and assume a forcing F(t) = coswt, a. Use ODE45-solver to obtain the solution curves for several values of w between .5 and 2. Plot the solutions and estimate the amplitude A of the steady response in each case. b. Using the data from part (a) plot the graph of A vs. w. For what frequency W is the amplitude greatest?