Differential Equations - Bernoulli Problem

  • #1
159
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Homework Statement



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

Homework Equations



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

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.
 

Answers and Replies

  • #2
150
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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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