A system is characterized by 4 × 10−3dy/dt + 3y = 5 cos(1000t) − 10 cos(2000t). Determine y(t). (Hint: Apply the superposition p
roperty of LTI systems.) (a) Determine if the waveform has dc, even, or odd symmetry.
(b) Obtain its cosine/sine Fourier series representation.
(c) Convert the representation to amplitude/phase format and plot the line spectra for the first five non-zero terms.
(d) Convert the representation to complex exponential format and plot the line spectra for the first five non-zero terms.
(e) UseMATLAB or MathScript to plot the waveform using a truncated Fourier series representation with nmax = 100.
