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Frobenius power series repeated roots

  1. Oct 31, 2010 #1
    Could someone please explain the y2 solution for repeated roots in Frobenius method where y2=y1lnx+xs [tex]\Sigma[/tex] Cnxn


    I am struggling to figure out how to solve this
     
  2. jcsd
  3. Nov 6, 2010 #2
    For a solution about a regular singular point x=0, look at simplest case first in the form of Euler-Cauchy equation
    [tex]x^2y''+\alpha xy'+\beta y=0 [/tex]

    when the indicial root is a double root.
     
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