Hi everyone, this is my first post but I've been reading through the forum for a quite sometime now. I've recently began trying to do some difference equations, for the most I've been doing good, but just a few things have puzzled me. I have two questions relating to the particular solutions of non-homogeneous equation. First one is, if the equation is x(k+1) - x(k) = 8log2(k) and I wanted to get the particular solution: f(x) = 8long2(k) but what is particular solution? I know for example if f(x) = 8e^k it would be c*e^k. Secondly if the equation is x(3k) = 2x(k) for 1,3,9,27,..., with x(1) = 1, how do I get this into the standard form? Or is it already in the standard form. My first step for this one was: let k = 2^m and x(k) = y(m) hence, 3k = 2^(m+2) and x(3k) = y(m+2) But have no idea of this is the right approach. Sorry I know they are stupid questions, but they've really stumped me. Any help would be great. Thanks.