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For more information, please see full course syllabus of Differential Equations
For more information, please see full course syllabus of Differential Equations
Differential Equations Autonomous Equations & Phase Plane Analysis
Lecture Description
In this lesson, our instructor Will Murray gives an introduction on autonomous equations and phase plane analysis. He explains the form of autonomous differential equations, equilibrium solutions, stable equilibria, unstable equilibria, and semi stable equilibria.
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1 answer
Mon Mar 7, 2016 9:41 AM
Post by David Löfqvist on March 6, 2016
Hi! Great lecture, and yes I would also love to see more topics, but that's not my reason for commenting. I'm wondering if you could give some physical example of a semistable equalibrium?
5 answers
Fri Oct 30, 2015 4:13 PM
Post by Agustin Velasquez on September 13, 2014
Awesome lecture , it really helped me grasp a better understanding of autonomous equations. However, in my class we,ve now moved to exact equations and integrating factors. is there any chance a lesson can be done on these two topics? thanks
1 answer
Thu Jul 18, 2013 8:32 AM
Post by mateusz marciniak on July 7, 2013
hi professor great lecture, i'm very glad there are still great professor's out there such as yourself who know exactly how to teach, i'm very grateful. i have one question though, when we make our phase diagrams i don't know how to tell when our polynomial is positive or negative which would change the orientation of my graph. for example when we did example 5 i didn't know which way to orient the cubic function. Thanks