Determine Whether Each Of The Following Signals Is Periodic If

A causal linear time-invariant system is described by the difference equation
y[n] – 5y[n – 1] + 6y[n – 2] = 2x[n – 1].
(a) Determine the homogeneous response of the system, i.e., the possible outputs if x[n] = 0 for all n.
(b) Determine the impulse response of the system.
(c) Determine the step response of the system.
Discuss.

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