Previous exercise:

Use matlab please. Thanks :)

Solve "+= f(t), (0) = 5 where f is the waveform from the previous exercise. Plot the Fourier series solution (with N = 20 or higher) and the output of ode45 on (0,6 7). Let f = t (2-t) on (0,21]. Extend f periodically to the entire real line. (a) Compute the Fourier coefficients 2 2 2n = * $(t) cos(nt) dt, bx = " f(t) sin(n t) dt, using symbolic integration (by parts). Next set 1 N FN = -00+ - (an cos(nt) + bn sin(nt)) nel Plot f and F20 on the interval (0,21 and comment on the agreement of the plots. If the agreement is poor, recheck your Fourier coefficients. Solve "+= f(t), (0) = 5 where f is the waveform from the previous exercise. Plot the Fourier series solution (with N = 20 or higher) and the output of ode45 on (0,6 7). Let f = t (2-t) on (0,21]. Extend f periodically to the entire real line. (a) Compute the Fourier coefficients 2 2 2n = * $(t) cos(nt) dt, bx = " f(t) sin(n t) dt, using symbolic integration (by parts). Next set 1 N FN = -00+ - (an cos(nt) + bn sin(nt)) nel Plot f and F20 on the interval (0,21 and comment on the agreement of the plots. If the agreement is poor, recheck your Fourier coefficients