Moderate# First-order Scalar Autonomous Differential Equation

DIFFEQ-NJXETL

A first-order scalar autonomous differential equation is an equation of the form $x'=f(x)$, where the unknown is $x=x(t)$. Which of the following properties is (are) shared by all autonomous differential equations?

Assume that we only consider equations $x'=f(x)$ for which $f$ is continuously differentiable.

Select **ALL** correct answers.