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Second Order ODEs

  1. Mar 1, 2009 #1
    1. The problem statement, all variables and given/known data

    Find all values of a for which all solutions of

    y''(x) + (a/x)y'(x) + (5/2)y(x) = 0

    tend to zero as x tends 0+ and all values for which all solutions tend to zero as x tends to +

    2. Relevant equations
    3. The attempt at a solution

    I am not even sure where to being with this problem. My guess is to examine all cases for b-(a2/4). Just not really sure on this at all.
  2. jcsd
  3. Mar 1, 2009 #2
    You should know the http://math.colgate.edu/~wweckesser/math311/handouts/second_order.pdf" [Broken] to a second-order differential equation to solve this.

    Then look at the possible solutions based on what you have for a and x.
    Last edited by a moderator: May 4, 2017
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