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Differential Equations - Bernoulli Problem

  1. Feb 6, 2007 #1
    1. The problem statement, all variables and given/known data

    Solve the equation [tex] y' = \frac{2xy}{x^2-y^2}[/tex]

    2. Relevant equations

    The Bernoulli multiplier thing which I don't feel like typing out.

    3. The attempt at a solution

    I'm attempting to separate the equation so I can have y and dy on one side and x and dx on the other, but the denominator is making that really hard for me to do. Any ideas on how to separate it? Thanks.
     
  2. jcsd
  3. Feb 23, 2007 #2
    Something like u=y/x and so y' = xu'+u. Divide the numerator and denominator of RHS by x^2 to get into the u form. Just make sure you substitute away all the y and y' terms.
     
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