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 2 of 3, we discuss the solution curves, and stability of the solution close to the critical point and quantify the critical point as an attractor, repeller, and semi-stable. 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.
First Order ODE - 2.3 - Autonomous Equations - Part 2 of 3
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differential equationdifferential equationsdifferential equations coursedifferential equations engineering mathematicsdifferential equations lectureeml6069first order differential equationsguldikenodeordinary differential equationordinary differential equationsrasim guldikenautonomous differential equationscritical pointstationary pointsolution curvessolution curves differential equationsattractor and repeller differential equationsattractor
