Differential equations help?

  • #1
151
0

Homework Statement



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.

Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
346
48
What happens if you take the square root of both sides of the equation?
 
  • #3
151
0
(y-xy')=sqrt(x^2+y^2)
 
  • #4
346
48
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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