Linearization of two nonlinear equations

[@samonellasgayclone1054]

This dude deserves a field medal of best teacher

[@rogerwilcoshirley2270]

Yes totally agree Dr. Strang is an excellent instructor and has some outstanding applied math texts that i always keep at hand. He has such a deep and thorough understanding of his subject matter that like many true experts (sports also as in academics and i love both) he never gets mixed up , can extemporize as needed, and can make things seem far easier than they actually are.

[@thanasisconstantinou7442]

You are an excellent teacher sir. I admire your ability to present important mathematics topics that are directly applicable to physics and engineering, in a very easy way to digest.

[@georgesadler7830]

This is a great way to introduce linearization of nonlinear systems.

[@davidnowicki4024]

Could of been someone if he was my professor. Wow finally makes intuitive sense.

[@alhaithamaljabri2203]

Amazing way of teaching mathematics!

[@aidenwinter1117]

Thank you for teaching in human language

[@jmafoko]

i love the passion the most

[@ahmetanilpacaman4945]

Where re these come from (y-1)' = -(z-1) and the other (z-1)' = (y-1) 17:00

[@ahmetanilpacaman4945]

It's an ıdle questıon but if there is anyone who wonder that it is come from this equation : d/dt[ (y-Y) ; (z-Z) ] = [ J ] *[ ( y - Y ) ; ( z - Z ) ]

[@WakippaiBenkyoWatamate]

Thank you professor so much.

[@AliAhmed-eq7pq]

in this case, how can I use the Hartman Grobman Theorem?

[@dev_escape]

Great professor....

[@seamus9898]

Usually, predatory-pray system of equations have coefficients behind each terms: e.g. dy/dt = ky - ayz, dz/dt = byz - rz where k & r birth/death rate of pray/predator and a & b are the rate of encounter (usually a = b) In this example, all coefficients are 1. So you see unrealistic steady state solutions like (0, 0) & (1, 1)

[@christiangonzalez6945]

I wsd thinking this, i didnt remember the equations as the autor descrives them, didnt also remeber them to be that simple to be hosnest, its funny how simple the model is.... Dont mind tha magic number he is glinting at an engginering problem that acrues with maths, "the usseless solution" Imagine a chemist doing all his maths just to find that 0 = 0 as a solution. What does mean in real life, i mean numbers have a meaning in Reality

[@matinhewing1]

Gilbert...a god amongst men...

[@AJ-et3vf]

Great video sir! Thank you!

[@xielinfeng4121]

this guy is amazing

[@daminduvijayanga1137]

Magnificent

[@sossupummi]

yes sir the economy has gotten TOTALLY out of hand

[@erfanmohagheghian707]

y"+y=1 for that system not 0. It's a non homogeneous system. Ty

[@Zahidalizahidi]

Good teacher

[@parulkhant4649]

Excellent

[@uditsaxena3844]

thank you

[@KotChorny]

"Rabbits are growing, it is an unstable point"

[@ravikiran4495]

Professor Strang-2016.

[@tulindirirejohn7943]

so great

[@markcarroll2985]

You are a prince x

[@gert_kruger]

lol, Gilbert is a caninibal: t=14m14s, :)) when the population is really small, forget the eating... there aren't enough people around...

[@geogen4402]

OOK