Autonomous Differential Equations

Subjects: Ordinary Differential Equations
Links: First Order Differential Equations
Def: A differential equations where the independent variable doesn’t appear are important enough to get their own name, autonomous and are of the form

Which is a special case of a separable differential equation, and we know how they are solved.

The zeros of $f(y)$ are called critical points or equilibrium solutions since if $y$ is equal to any of this zeros, then the differential equation won’t move.