Differential calculus

For the sake of clarity, should the equation look like this:

y' (ay- b) = c /(x^2 - e y^2)

y' = c/ [(ay- b) (x^2 - e y^2)]

F isn't defined here (you state only that f is not 0). Please expand on your notations and conventions.

y'=(c(x^-2)-e(y^2))/(ay-b)
y is defined and continuous over the domain [g,f] such that value of y=0 when x=f;

here a ,b, c, e, f, g all are constant.This type of differential equations arises when i am working and try to solving the problems in physics by assuming that previously used theorem has some limitation.After solving this differential equations,i want to see that new relation arises from this differential equation can full fill limitations assuming by myself.
So you just assume that problem is hypothetically arises and please try to provide me some hits if you have.