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Homogenous differential equation

  1. Oct 4, 2011 #1
    1. The problem statement, all variables and given/known data[/b

    so I am given a known homogeneous differential equation dy/dx=(y^2+x*sqrt(x^2+y^2))/xy

    2. Relevant equations
    now I know that you have to separate in to some form of y/x which then you can change into v and solve the differential equation but I am having trouble

    3. The attempt at a solution
    I just can't figure out how to get it in the appropriate form in order to simplify
  2. jcsd
  3. Oct 4, 2011 #2


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    Let y = ux, y' = u'x + u. Work it out and show us what happens.
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