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2.25. Consider a system for which the input x[n] and the output y[n] satisfy the following relation. 8y[n] + 2y[n 1]- 3y[n -2] = x[n] (P2.25-1) (a) For x[n] = 8[n], show that a particular sequence satisfying the difference equation is n Yp[n] = ( − ³)" u[n] + √ ( 3 ) * u[n]. (b) Determine the homogeneous solution(s) to the difference equation specified in Eq. (P2.25-1).

2.25. Consider a system for which the input x[n] and the output y[n] satisfy the following relation. 8y[n] + 2y[n 1]- 3y[n -2] = x[n] (P2.25-1) (a) For x[n] = 8[n], show that a particular sequence satisfying the difference equation is n Yp[n] = ( − ³)" u[n] + √ ( 3 ) * u[n]. (b) Determine the homogeneous solution(s) to the difference equation specified in Eq. (P2.25-1).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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anyone help me with this problem 2.25

2.25. Consider a system for which the input x[n] and the output y[n] satisfy the following relation. 8y[n] + 2y[n 1]- 3y[n -2] = x[n] (P2.25-1) (a) For x[n] = 8[n], show that a particular sequence satisfying the difference equation is Yp[n] = ( − ³)" u[n] + √( 3 )" u[n]. (b) Determine the homogeneous solution(s) to the difference equation specified in Eq. (P2.25-1).
Transcribed Image Text:2.25. Consider a system for which the input x[n] and the output y[n] satisfy the following relation. 8y[n] + 2y[n 1]- 3y[n -2] = x[n] (P2.25-1) (a) For x[n] = 8[n], show that a particular sequence satisfying the difference equation is Yp[n] = ( − ³)" u[n] + √( 3 )" u[n]. (b) Determine the homogeneous solution(s) to the difference equation specified in Eq. (P2.25-1).
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