## Frobenius power series repeated roots

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
 PhysOrg.com science news on PhysOrg.com >> Intel's Haswell to extend battery life, set for Taipei launch>> Galaxies fed by funnels of fuel>> The better to see you with: Scientists build record-setting metamaterial flat lens
 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.