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Homework Help: Find all singular points?

  1. Jul 31, 2013 #1
    1. The problem statement, all variables and given/known data
    Find all singular points of xy"+(1-x)y'+xy=0 and determine whether each one is regular or irregular.

    2. Relevant equations
    The answer is x=0, regular.

    3. The attempt at a solution
    I know that x=0 since you set whatever is in front of y" to 0 and you solve for x, right?
    And I think you supposed to take the limit as x approaches to 0 but I don't know which function to take the limit of.
  2. jcsd
  3. Jul 31, 2013 #2


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    Have you looked in your text to see the definition of a regular singular point? What is it?
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