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Part B: Matlab Simulations. Due on 13pm, Dec. 28. (20\%) Consider the initial value problem y+0.1y+y=f(t),y(0)=0,y(0)=0, where f(t)=u0(t)+ 2k=1n(1)kukr(t). a. (8\%) Plot the graph of the solution. Use a large enough value of n and a long enough t-interval so that the transient part of the solution has become negligible and the steady state is clearly shown. b. (5\%) Estimate the amplitude and frequency of the steady-state part of the solution. c. (7\%) Compare the results of part b with a sinusoidally forced oscillator f(t)=sin(t)