Solving non-linear first order differential equations

Question

I'm try to solve this differential equation:

$$ \frac{dy}{dx} = \frac{Ay^{1/2}} {By^{1/2}-Bx^{1/2}-C} - \frac{Ax^{1/2}} {(By^{1/2}-Bx^{1/2}-C)} $$

I tried to solve it but seems to have reached a roadblock here.