# Math Help - series solution!

1. ## series solution!

$y''(x)+\frac{x^2+x}{x^2}y'(x)-x^{-2}y=0$

pls folks, the problem above i have attempted and got the indicial equation as c=1 or -1 and the following series while holding c=1;

$-\frac{2a}{(2+1)!}+\frac{2a}{(6+2)!}-\frac{2a}{(24+3)!}..........$

what would this be in closed form? pls correct me if i made any mistake. thanks!

2. ## Re: series solution!

Did you just compute the first coefficients, or you get a reccurrence relation? (we can get the latter multiplying first the equation by $x^2$)

3. ## Re: series solution!

just the first coefficient to obtain that relation. what to know if am on course?