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!
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.
Ayvan dy/dt = f(y). The examples are as follows: dy/dt = ay(1), dy/dt = y-y^2 (2), dy/dt = y(1-y^2). According to Professor Strang, the steady state of f(y) is equal to 0. Still don’t know what a steady state is, but that’s how he derives his functions in terms of y.
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
MIT just puts every other American uni to shame with the quality of these lectures...great source for relearning DEs
He's so great!!!! That these videos are free for humanity amazes me, thank you MIT!
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!
Excellent practical demonstration with that book Professor Strang!
Thank you for these videos, they're amazing.
The best lecture I've found on the topic of differential equation!
we can find solution of the function y' = y-y^3 to verify the stable/unstable points as well.
wowow, the technique of evaluation gradients is wonderful.
omg,so Professor you teach stable theorem as well ?damnnnnnnnnnn,from differential equations to LInear algebra and now this ,omg,
the best explanation ever thanks
This lecture is great!
14:17 Nobel Prize, here I come!
These are great contributions to advanced mathematics by MIT longtime professor DR. Gilbert Strang.
Thankyou. Professor.
You can try it...on somebody else's book... :D This is such a nice humour.
thank you!
LOL 15:49
No!
Thanks
But why do the function go either way?
nice product placement @professor strang
Sir, What happened if df/dy =0 ?
You get a weird "semi-stable" region that offers no useful insight into the stability of that point
15:51
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.
where does the f come from
Ayvan dy/dt = f(y). The examples are as follows: dy/dt = ay(1), dy/dt = y-y^2 (2), dy/dt = y(1-y^2). According to Professor Strang, the steady state of f(y) is equal to 0. Still don’t know what a steady state is, but that’s how he derives his functions in terms of y.
Uh-huh-huh... Yupp
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
no it's not mixed up