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)n
Answer:A
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)n
Explanation: Taking the z-transform of the given difference equation and solving the homogeneous equation and finding the solution using complimentary function.