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Difference equation 
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#1
Feb709, 05:56 AM

P: 1

Hi guys
I have this difference equation. y(n)y(n1)+0.25y(n2)=x(n)0.25x(n1) I found the step response of the system from the homogeneous solution and it's y_{h}(n)=C_{1}(0.5)^{n}+C_{2}n(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)^{n}u(n) is the input and initial conditions =0. so my question is how do I find the particular solution ( y_{p}(n))? I tried for y_{p}(n)=C(0.25)^{n},Cn^{2}(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. 


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