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The system described by the input-output equation y(n)=nx(n)+bx^3(n) is a __________

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The system described by the input-output equation y(n)=nx(n)+bx^3(n) is a __________

(a) Static system

(b) Dynamic system

(c) Identical system

(d) None of the mentioned

This question was posed to me in my homework.

I'd like to ask this question from Discrete Time Systems in division Discrete Time Signals and Systems of Digital Signal Processing

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The correct answer is (a) Static system

The best I can explain: Since the output of the system y(n) depends only on the present value of the input x(n) but not on the past or the future values of the input, the system is called as static or memory-less system.

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