(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

y'' + y' + y = 1 + x + x^{2}

2. Relevant equations

y = Ʃ C_{N}*x^{N}N starts at 0

y' = Ʃ N*C_{N}*x^{(N-1)}N starts at 1

y'' = Ʃ N*(N-1)*C_{N}*x^{(N-2)}N starts at 2

3. The attempt at a solution[/]

I know how solve the equations using series when the equation would equal to 0. My main question about using series on a non-homogeneous differential equation is whether or not the varialbes on the right side have the C_{x}coefficients? Or would they be paired up with the x, x^{2}, etc? I think I need some quick clarification on this.

Thanks!

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# Homework Help: Differential Equations: Non-homogeneous Series Expansion

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