(x^2-3y^2)dx + 2xydy = 0
I tried everything I just can't separate the variables :X
thank you in advance!
This is a homogeneous equation because both functions in and are of degree 2. In this case, make the substitution and . Then your equation becomes
which is separable. Once you solve for in terms of , you can go back and solve the equation by substituting and solve for .