# Frobenius power series repeated roots

1. Oct 31, 2010

### John777

Could someone please explain the y2 solution for repeated roots in Frobenius method where y2=y1lnx+xs $$\Sigma$$ Cnxn

I am struggling to figure out how to solve this

2. Nov 6, 2010

### matematikawan

For a solution about a regular singular point x=0, look at simplest case first in the form of Euler-Cauchy equation
$$x^2y''+\alpha xy'+\beta y=0$$

when the indicial root is a double root.