1.

Homogeneous solution of: y(n) -9/16y(n-2) = x(n-1)(a) C1(3/4)^n+C2(3/4)^-n(b) C1-(3/4)^n-1+C2(3/4)^n-1(c) C1(3/4)^n(d) C1-(3/4)^nI got this question in semester exam.My question is from The inverse z-transform and Response of Linear Discrete Systrems topic in chapter Digital Control Systems of Control Systems

Answer»

Right answer is (a) C1(3/4)^n+C2(3/4)^-n

The best explanation: TAKING the z-transform of the given DIFFERENCE EQUATION and solving the homogeneous equation and finding the SOLUTION using complimentary function.



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