2.31. Consider the difference equation yle) + 5la – 1] - 1a – 2) = x»). (a) Determine the general form of the homogeneous solution to this equation. (b) Both a causal and an anticausal LTI system are characterized by the given difference equation. Find the impulse responses of the two systems, (c) Show that the causal LTI system is stable and the anticausal LTI system is unstable. (d) Find a particular solution to the difference equation when x[n] = (3/5)" u[n].

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2.31 plz sove its parts d

2.31. Consider the difference equation
yle) + 5la – 1] - 1a – 2) = x»).
(a) Determine the general form of the homogeneous solution to this equation.
(b) Both a causal and an anticausal LTI system are characterized by the given difference
equation. Find the impulse responses of the two systems,
(c) Show that the causal LTI system is stable and the anticausal LTI system is unstable.
(d) Find a particular solution to the difference equation when x[n] = (3/5)" u[n].
Transcribed Image Text:2.31. Consider the difference equation yle) + 5la – 1] - 1a – 2) = x»). (a) Determine the general form of the homogeneous solution to this equation. (b) Both a causal and an anticausal LTI system are characterized by the given difference equation. Find the impulse responses of the two systems, (c) Show that the causal LTI system is stable and the anticausal LTI system is unstable. (d) Find a particular solution to the difference equation when x[n] = (3/5)" u[n].
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