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Homework Help: Bessel ODE math problem

  1. Mar 9, 2010 #1
    The problem statement, all variables and given/known data[/b]
    I would like to solve a second order ODE, by breaking it up into two first order ODES. However, I'm having a bit of difficultly here.

    The ODE is [tex]y''=-(\frac{1}{x}y'+y)[/tex]
    and the true solution is Bessel of first kind, order zero.

    I have tried setting z=y' which means
    z'=y''=the equation shown above.

    However, I am having difficultly implementing the [tex]\frac{1}{x}[/tex]

    I'm trying to program it in matlab, but none of the ODE solvers knows how to deal with the 1/x.

    Any ideas?
  2. jcsd
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