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Homework Help: How to convert Sturm Liouville to into Bessel's eqn.

  1. Jan 8, 2014 #1
    Hello, I've been given a Sturm Liouville problem to solve:

    xy" + 2y' + λxy = 0

    y(∏) = 2, y(2∏) = 0

    I'm not sure how to solve this problem. However, it looks similar to Bessel's equation. Any ideas?

  2. jcsd
  3. Jan 8, 2014 #2


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    I would suggest trying a series solution noting ##x=0## is a regular singular point.
  4. Jan 8, 2014 #3


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    I would try some substitutions first. Like maybe u=yx.
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