Determine the zero-input response for n > 0 for the following DT LTI system: y[n] + 4y[n – 1] + 3y[n – 2] = 0.5z[n] + 0.5x[n – 1] z[n] = u[n] yl-1] = 0, y[–2] = -1 O A. Ya [n] = [-1.5(–1)" + 0.5(–3)"]u[n] B. Ya (n] = [1.5(-1)" – 0.5(–3)"]u[n] O C. Ya[n] = [1.5(-1)" – 4.5(–3)"]u[n] O D. Y:a [n] = [-1.5(–1)" + 4.5(–3)"]u[n] %3D

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Determine the zero-input response for n > 0 for the following DT LTI system:
y[n] + 4y[n – 1] + 3y[n – 2] = 0.5z[n] + 0.5x[n – 1]
2[n] = u[n]
y[–1] = 0, y[–2] =-1
O A. Ya[n] = [-1.5(–1)" + 0.5(–3)"]u[n]
O B. Yzi (n] = [1.5(-1)" – 0.5(–3)"]u[z]
O C. Ya [n] = [1.5(-1)" – 4.5(-3)"]u|n]
O D. Ya (7] = [-1.5(–1)" + 4.5(–3)"]u[n]
Transcribed Image Text:Determine the zero-input response for n > 0 for the following DT LTI system: y[n] + 4y[n – 1] + 3y[n – 2] = 0.5z[n] + 0.5x[n – 1] 2[n] = u[n] y[–1] = 0, y[–2] =-1 O A. Ya[n] = [-1.5(–1)" + 0.5(–3)"]u[n] O B. Yzi (n] = [1.5(-1)" – 0.5(–3)"]u[z] O C. Ya [n] = [1.5(-1)" – 4.5(-3)"]u|n] O D. Ya (7] = [-1.5(–1)" + 4.5(–3)"]u[n]
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