# Frobenius Method

• June 25th 2010, 01:14 PM
sinichko
Frobenius Method
$(2x^{2}-x)y''+(2x-2)y'+(-2x^{2}+3x-2)y=0$

Around what value of x? Since $2x^2- x= x(2x- 1)= 0$ only for x= 0 or x= 1/2, "Frobenius' method" only applies to solutions as power series about 0 or 1/2.
Start by writing $y= \sum_{n=0}^\infty a_n(x- x_0)^{n+c}$ where $x_0$ is either 0 or 1/2.