# series solution!

• September 10th 2012, 03:58 AM
lawochekel
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!
• September 13th 2012, 04:52 AM
girdav
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 $x^2$)
• September 13th 2012, 05:56 AM
lawochekel
Re: series solution!
just the first coefficient to obtain that relation. what to know if am on course?