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Radius of convergence quick help

  1. Jul 26, 2009 #1
    quick help on this i seem to be missing some logic or process
    determine the lower bound the radius of convergence of series solutions about the given X0

    (2+x^2)y''-xy'+4y=0

    xo=0
     
  2. jcsd
  3. Jul 26, 2009 #2
    Well, we can't really help you unless you start the process. Do you have any idea where to go from here?

    EDIT: If you've got absolutely no idea where to start, you should just Google "radius of convergence series solutions."
     
  4. Jul 26, 2009 #3
    well i was seeing that (2+x^2) has no discontinuity
    so shouldn't the radius be infinity?
     
  5. Jul 26, 2009 #4
    What does discontinuities of P(x) have to do with anything? A hint would be writing the DE in the form [tex]y^{''}+P(x)y^{'}+Q(x)y=0[/tex] and using a Fuchs' Theorem.
     
  6. Jul 26, 2009 #5
    thanks guys just hammered through it think i got my head around it :)
     
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