I am having trouble getting to a solution for this differential equation(adsbygoogle = window.adsbygoogle || []).push({});

[tex]2(x^2+2x)y' - y(x+1) = x^2+2x[/tex] -------- 1

for a series solution, we have to assume y = [tex]\sum a_{n}x^n[/tex] ---------- 2

if we divide equation 1 by [tex] x^2 + 2x [/tex], we get [tex] (x+1)/(x^2+2x) [/tex] for the y term, which is where my problem is, i can't get that term to common out in the series and always leaves me with an x term.

may be i need to keep going with expression, what do you math geniuses think?

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# Non homogeneous differential equation - power series solution

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