That's what I thought, but dividing
1+\frac{y^{2}}{x^{2}}
by y2 doesn't yield something of the form Q(x), it leaves
\frac{1}{y^{2}}+\frac{1}{x^{2}}
Unless I'm approaching that method entirely wrong, which I may well be, I don't see how I can use the w'=\frac{-1}{y^{2}}y'...
Homework Statement
Consider the following differential equation:
x^{2}\frac{dy}{dx}=x^{2}-xy+y^{2}
State whether this equation is linear or nonlinear and find all it's solutions
Homework Equations
I think that the Bernoulli differential equation is relevant, but I'm not sure...