(adsbygoogle = window.adsbygoogle || []).push({}); 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?

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# Difference equation, ypn guess problem

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