Solving a First Order Non-Linear Differential Equation of the form $\frac{dy}{dx}=ab-\frac{b}{a}y^2$ I was wondering how to solve the following DE $$ \frac{dy}{dx}=ab-\frac{b}{a}y^2 $$ as i cannot seem to find any s...--prophetes.ai

Solving a First Order Non-Linear Differential Equation of the form $\frac{dy}{dx}=ab-\frac{b}{a}y^2$ I was wondering how to solve the following DE $$ \frac{dy}{dx}=ab-\frac{b}{a}y^2 $$ as i cannot seem to find any site or PDF which adresses this specific DE or a similar equation. Any help is much appriciated. Thank you for your time! :-)

**Hint**

This is a **separable** first order nonlinear ODE. Search for how to solve these kind of ODEs. :)

Finally, we should came up with

$$\int {\frac{1}{{ab - \frac{b}{a}{y^2}}}dy} = \int {dx} + C$$