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2.5. A causal linear time-invariant system is described by the difference equation y[n] – Sy[n – 1] + 6y[n – 2] = 2x[n – 1]. (a) Determine the homogeneous response of the system, i.e., the possible outputs if x[n] = O for all n. (b) Determine the impulse response of the system. (c) Determine the step response of the system.

2.5. A causal linear time-invariant system is described by the difference equation y[n] – Sy[n – 1] + 6y[n – 2] = 2x[n – 1]. (a) Determine the homogeneous response of the system, i.e., the possible outputs if x[n] = O for all n. (b) Determine the impulse response of the system. (c) Determine the step response of the system.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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2.5. A causal linear time-invariant system is described by the difference equation yln] – Syln – 1] + 6y[n – 2] = 2x[n – 1]. (a) Determine the homogeneous response of the system, i.e., the possible outputs if x[n] = O for all n. (b) Determine the impulse response of the system. (c) Determine the step response of the system.
Transcribed Image Text:2.5. A causal linear time-invariant system is described by the difference equation yln] – Syln – 1] + 6y[n – 2] = 2x[n – 1]. (a) Determine the homogeneous response of the system, i.e., the possible outputs if x[n] = O for all n. (b) Determine the impulse response of the system. (c) Determine the step response of the system.
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