Answer Happy

A filter has the following differential equation. day dy 3 +4 + 2y = x(t) dt = dt2 The input x(t) is the following: x(t) = 3 cos(0.5t +30°) + 4 cos (2t - 40°) a) Determine the Fourier Transform X(w) of the input. b) Determine the transfer function H(W) = Y(W)/XW)

c) Determine the Fourier Transform Y(W) d) Determine the steady-state waveform y(t) in the form y(t) = A cos(0.5t +Pa) + B cos(2t + b)