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Singular points

  1. Dec 17, 2006 #1
    when finding a power series solution we have to put the differential equation


    into the form


    this leads to singular points when a=0 but why can't we leave the equation in its original form and use power series substitution to avoid singular points?

    or in other words why do we care about the second form?
  2. jcsd
  3. Dec 17, 2006 #2


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    Staff Emeritus
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    Experiment. :smile: Try it out and see. Take a simple example,

    x y'' - 1 = 0

    for example, and see what happens.
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