Given the model 0.5y + 5y = f (t) with the following

Chapter , Problem 9.34

(choose chapter or problem)

Given the model

                                                \(0.5 \dot{y}+5 y=f(t)\)

with the following Fourier series representation of the input

                                                \(f(t)=\sin 4 t+4 \sin 8 t+0.04 \sin 12 t+0.06 \sin 16 t+\cdots\)

Find the steady-state response \(y_{s s}(t)\) by considering only those components of the f(t) expansion that lie within the bandwidth of the system.