What is the solution of the differential equation(in y) [math]f(x)\frac{\mathrm{d} y}{\mathrm{d} x}=yf'(x)-y^2[/math] where f(x) is differentiable?
How do I solve the differential equation [math]y = x \frac{dy}{dx} + \frac{dx}{dy}?[/math]