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Differential Equation

  1. Sep 3, 2007 #1
    I need to solve the equation

    [tex]\frac{d^{2}}{dx^{2}}[/tex][tex]\Psi[/tex] + [tex]\frac{2}{x}[/tex][tex]\frac{d}{dx}[/tex][tex]\Psi[/tex] = [tex]\lambda[/tex][tex]\Psi[/tex]

    Can anyone help me get a start on this problem? I've been guessing at a few solutions with no results... I'm not asking anyone to solve the problem... just a few hints on starting... maybe regarding the form
  2. jcsd
  3. Sep 4, 2007 #2


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    So it's [tex] \frac{d^{2}\Psi (x)}{dx} +\frac{2}{x}\frac{d\Psi (x)}{dx}-\lambda \Psi (x) =0 [/tex].

    Note the singularity at x=0. In what space do you expect the solution to be ?
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