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Integration within a DiffEQ problem

  1. Sep 22, 2008 #1
    1. The problem statement, all variables and given/known data
    Solve the given differential equation by using an appropriate substitution.

    2. Relevant equations
    [tex]y=ux, dy=udx+xdu[/tex]

    3. The attempt at a solution
    After combining, cancelling and moving terms into their appropriate places, I get:

    This is where I get stuck, I am unable to integrate the right hand side. Can anyone help me out a little?

  2. jcsd
  3. Sep 22, 2008 #2


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    Science Advisor
    Homework Helper

    Split it into two parts. 2u/(u^2+1) looks easy by a substitution and 1/(u^2+1) looks like an arctan.
  4. Sep 22, 2008 #3
    I cannot believe I didn't see that.

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