Euler-Lagrange Equation

00:00 Why all this?
00:52 Action Functional
01:53 Nature is extemal
02:44 Calculate the action
03:52 Structure of the Euler-Lagrange equation
05:20 Lagrange function
05:54 How to use Euler-Lagrange equation

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[salalamuel]

Amazing Work! It catches the topics complexity but you explain it very intuitivly. Also the example at the end really helps!

[jeyaraman]

Nature always chooses the least path for an action to be preformed and that was clearly explained...Great !!!

[stbny]

I always had trouble with Euler Lagrange equation in engineering class. This was very helpful.

[apuji]

This is great! I was a little confused about the EL Eq, but this cleared it for me, thanks! :)

[ieyazlm]

Woow. Absolutely amazing. This is the most talented video i have ever seen. This is a bit confusing topic but you tell it very well. Thank you so much.

[markgoretsky]

Danke for Euler-Lagrange equation! Well done!

[dr.ganeshbhokare]

Beautiful... You explaned the concept with physical interpretation and real life but simple problem... Fantastic. Looking forward to more such a learning videos. Thank you from heart.❤

[johnspivack]

Really good, clear and patient explanation of the concepts. Thanks.

[jonesmartins]

Great explanation, first because of your rigorous step-by-step process, second because of your use of colors. Both are lacking in other videos trying to explain the equation's use.

[dean]

In your derivation for the Euler-Lagrange equation q(t_1)=t_2 and q(t_2)=t_1 as boundary values. Nice job 👍🏻

[kingsleyglenview]

I like your videos. Keep educating me please. Thank you.

[Nitish-Rathod]

Thanks i don't know but today i understand action, just because you write 👉 action units. I am from India 💝

[subashkc]

Amazing video awesome❤️😍
Thank you for this amazing video.
Lots of love from nepal❤️❤️

[isobar]

I have yet to see anyone explain the original derivation that 'Euler' came up with.

[РоманЛева-йз]

Thanks! After a lot of complicated formulas in book, at once I have understand what is all about

[Dev-ofio]

Now you gotta make a video on generalized coordinates

[Bguha]

“Fur Elise” playing in the background is pleasantly distracting

[jayxone]

I don’t understand, at 7:03, why is the derivative of the Lagrange just -mg? Why isn’t the first part also differentiated?

[agabe_]

0:51
why is the green path going back in time?