Differential Equations, Homogeneous equations

  • Thread starter beccajd
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Homework Statement



Use the method for Homogeneous Equations to slove

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

Homework Equations





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)
 

Answers and Replies

  • #2
LCKurtz
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Homework Statement



Use the method for Homogeneous Equations to slove

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

Homework Equations





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)

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

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