Given the following DT LTI system: y/n] – y/n – 1] – 2y[n – 2) = ¤[n] + 2r[n – 2]| y[–1] = 4, y[–2] = 0 What is the forced response of the system for an input z[n] = (-1)"u[n]?

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Given the following DT LTI system:
y[n] – y[n – 1] – 2y[n – 2] = ¤[n] + 2x[n – 2]
yl–1] = 4, y[–2] = 0
What is the forced response of the system for an input æ[n] = (-1)"u[n]?
O A. Yp[n] = 0
O B. Yp[n] = n(-1)"u[n]
O C. Yp[n] = 0.75(-1)"u[n]
O D. Yp[n] = 0.6667n(-1)"u[n]
%3D
Transcribed Image Text:Given the following DT LTI system: y[n] – y[n – 1] – 2y[n – 2] = ¤[n] + 2x[n – 2] yl–1] = 4, y[–2] = 0 What is the forced response of the system for an input æ[n] = (-1)"u[n]? O A. Yp[n] = 0 O B. Yp[n] = n(-1)"u[n] O C. Yp[n] = 0.75(-1)"u[n] O D. Yp[n] = 0.6667n(-1)"u[n] %3D
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