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Differential Equations, Homogeneous equations

  1. Jan 30, 2013 #1
    1. The problem statement, all variables and given/known data

    Use the method for Homogeneous Equations to slove

    (xy + y^2) dx - x^2 dy = 0

    2. Relevant equations



    3. The attempt at a solution

    I attempted to get dx/dy on one side and substitute but could not get farther than this

    dx/dy = x^2/(xy + y^2)
     
  2. jcsd
  3. Jan 30, 2013 #2

    LCKurtz

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    Try ##y=ux,\ dy = udx + xdu## to get a separable equation.
     
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