What is the particular solution of the difference equation y(n)= 5/6y(n-1)- 1/6y(n-2)+x(n) when the forcing function x(n)=2n, n≥0 and zero elsewhere?
A. (1/5) 2n
B. (5/8) 2n
C. (8/5) 2n
D. (5/8) 2-n
Answer:A
What is the particular solution of the difference equation y(n)= 5/6y(n-1)- 1/6y(n-2)+x(n) when the forcing function x(n)=2n, n≥0 and zero elsewhere?
A. (1/5) 2n B. (5/8) 2n C. (8/5) 2n D. (5/8) 2-n
Explanation: The assumed solution of the difference equation to the forcing equation x(n), called the particular solution of the difference equation is