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The total solution of the difference equation is given as _______________

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The total solution of the difference equation is given as _______________

(a) yp(n)-yh(n)

(b) yp(n)+yh(n)

(c) yh(n)-yp(n)

(d) None of the mentioned

The question was posed to me during an interview.

This key question is from Discrete Time Systems Described by Difference Equations in portion Discrete Time Signals and Systems of Digital Signal Processing

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The correct answer is (b) yp(n)+yh(n)

For explanation I would say: The linearity property of the linear constant coefficient difference equation allows us to add the homogeneous and particular solution in order to obtain the total solution.

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