The Stability and Instability of Steady States

MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
Instructor: Gilbert Strang

Steady state solutions can be stable or unstable – a simple test decides.

License: Creative Commons BY-NC-SA

[GirtonOramsay]

MIT just puts every other American uni to shame with the quality of these lectures...great source for relearning DEs

[pafnunciog.g.]

The simplicity and grandiosity of this lecture is only comparable to the outstanding usefulness of the concepts on it delivered. I had been -foolishly- looking for extremely adorned and complicated mechanisms to calculate and predict stability points in a production process and voila, this tool makes all so much easier and meaningful! Thank-you, Professor Strang!

[mariasmoczynska]

He's so great!!!! That these videos are free for humanity amazes me, thank you MIT!

[cknot]

Excellent practical demonstration with that book Professor Strang!

Thank you for these videos, they're amazing.

[mianliao]

The best lecture I've found on the topic of differential equation!

[hathuytu]

we can find solution of the function y' = y-y^3 to verify the stable/unstable points as well.

[hathuytu]

wowow, the technique of evaluation gradients is wonderful.

[charlesAcmen]

omg, so Professor you teach stable theorem as well differential equations to LInear algebra and now this, omg,

[georgesadler]

These are great contributions to advanced mathematics by MIT longtime professor DR. Gilbert Strang.

[debajyotichoudhuri]

You can try it...on somebody else's book... :D This is such a nice humour.

[jonathansum]

Hey guys, without understanding the separable equations, you are not going to understand these 3 examples. Watch the Khan Academy first or the part before this. I guess Gilbert Strang and Cleve Moler focus on teaching the concept for those people took this class before.

[nathanmerrill]

nice product placement @professor strang

[ishakookie]

But why do the function go either way?

[alexanderseton]

I think the Professor mixed up the solutions at 4:00. It is 0, 1, -1 for the second example and 0, 1 for the third one. Very nice lecture. This shows why MIT is one of the best institutions worldwide