Hi guys I have this difference equation. y(n)-y(n-1)+0.25y(n-2)=x(n)-0.25x(n-1) I found the step response of the system from the homogeneous solution and it's yh(n)=C1(0.5)n+C2n(0.5)n >>>homogeneous h(n)=(0.5n+1)(0.5)n >>> step response The 2nd part of the problem is I'm supposed to find the response of the system if x(n)=(0.25)nu(n) is the input and initial conditions =0. so my question is how do I find the particular solution ( yp(n))? I tried for yp(n)=C(0.25)n,Cn2(0.25)n, but i couldn't find the response. I also tried to solve it with convolution but it didn't work. So please guys i would really appreciate your help. thanks.