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Behavior at zero and at infinity

  1. May 27, 2010 #1

    I have a second order DE involving the first derivative and with singularities at zero and at infinity. I need the approximate behavior at zero and at infinity. I have the answer but I would like to know how to get there.

    I don't know how to start this search. Any help?
  2. jcsd
  3. May 27, 2010 #2


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    Homework Helper

    For the singularity near x = 0 I would try keeping only the largest terms as x -> 0 and solve the simplified equation.

    For the singularity near x = infinity, I would try to change variables to u = 1/x, and then do the same thing around u = 0.
  4. May 27, 2010 #3
    Bingo! Thanks a lot.
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