Differential Eqns. F22-08 -- Autonomous ODEs; classification of critical points
The one where we learn about autonomous ODEs (y'=f(y)) and how to identify critical points (=constant solutions) as well as classify critical points as stable, unstable, semi-stable via use of a phase diagram. Presenter: Steve Butler (https://www.stevebutler.org/) Additional materials: https://www.calc4.org/in-person-fall-... 0:00 Autonomous ODEs; finding critical points; stability 10:58 Example of autonomous ODE from polynomial (+sketching) 22:47 Example of autonomous ODE from polynomial (+limit) 28:21 Example of autonomous ODE from picture of function 35:05 Example of autonomous ODE from unpleasant function (+"gravity wells")
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Differential Eqns. F22-09 -- Higher order ODEs + Wronskian
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