Ok, so while I understand 2nd Order ODEs... I really don't understand MATLAB. I have 2 questions that I just can't get any code to work for: 1 Question: Consider the model of an undampened spring-mass system with a time-dependent spring constant k(t) given by: d2y/dt2 + k(t)y = 0, Use the ODE45-solver to obtain the solution curves satisfying the initial conditions on interval [0, 100] and function k(t). Predict the behavios as t approaches infinity and discuss the nature of the oscillations (if any) 1) y(0) = 1, y'(0) = 1, k(t) = cos(t) 2) y(0) = 1, y'(0) = 1, k(t) = 1+t^2 --------------- 2 Question: Consider the following model for a linear mass-spring system with damping and forcing: d2y/dt2 + (1/5)(dy/dt) + (1/5)y = coswt, y(0) = 0, y'(0) = 0 1) Use ODE45-solver to obtain the solution curves for values of w = 0.5, 1, 1.5, 2. Plot the solutions and estimate the amplitude A of the steady response in each case. 2) Using the data from part 1), plot the graph of A versus w. For what w is the amplitude greatest? --------------- I know how to use ODE45 to solve a 1st Order ODE and I know how to use other parts of MATLAB (tspan, y0, plot, etc.) but I have no idea how to approach this problem (mainly due to the 2nd Order ODE) nor has my professor been the best teacher when it comes to MATLAB. Thanks!