1. The problem statement, all variables and given/known data Solve the difference equation 2. Relevant equations y[n+2]-3y[n+1]+2y[n]==4n*2^n, n>=0 y0=0,y1=1 3. The attempt at a solution 1. Homogenous solution: Characteristic equation => r^2-3r+2==0 <=> r1=1,r2=2 => yhn = C1*1^n+C2*2^n 2. Particular solution: ypn = ? I tried different things but everything comes out wrong. I guess(what is the right word?) witha polynomial of the same degree as the right hand side of the equation how is it when 2^n is in both yhn and righthand side of the equation?