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Differential equations help?

  1. May 7, 2013 #1
    1. The problem statement, all variables and given/known data

    I have to find the differential of (y-xy')^2=x^2+y^2.Now,I have solved hom. equations but this is different because there are two y'. I know how to prove that it is a hom. equation of degree zero, so we can skip that, but how to solve this? Some hints would be highly appreciated.

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. May 7, 2013 #2
    What happens if you take the square root of both sides of the equation?
     
  4. May 7, 2013 #3
    (y-xy')=sqrt(x^2+y^2)
     
  5. May 7, 2013 #4
    Do you know how to solve homogeneous equations of the form y'= f(x,y)?

    Can you write (y-xy')=sqrt(x^2+y^2) as y'=f(x,y)?
     
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