First Order ODE - 2.2 - Autonomous Equations - Part 1 of 3

In this segment, we analyze a specific condition of a differential equation, called autonomous, where the function f(x,y) does not depend on the independent variable, hence f(x,y)=g(x). In this part 1 of 3, we discuss the concept of the critical point, equilibrium point, and stationary point. We also cover the phase line or phase portrait. We illustrate these concepts by solving a solved example problem. This material is based upon work supported by the National Science Foundation under Grant No. 2019664. Any opinions, findings, and conclusions, or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.