Understanding the Euler Lagrange Equation

[@ryanj748]

This is the best, clearest, and most enthusiastic presentation of Euler-Lagrange equation I've seen. Thank you, sir.

[@DrJuanKlopper]

Thanks Ryan. I appreciate it.

[@willemvanoranje1533]

Strange that there aren't any comments yet. Thanks for your explanation.

[@DrJuanKlopper]

The comments were never turned on. My bad.

[@alwyndsouza2351]

I have seen many explanations of Euler-Lagrange equation. This is the best one yet! Thank you.

[@DrJuanKlopper]

Thank you so much Alwyn.

[@henk_iii]

Dankie tog vir Dr. Klopper!!

[@DrJuanKlopper]

My plesier Henk.

[@kamiljan1131]

I love the fact that you see so much beauty in it! That's probably the best way math can be taught. Can't thank you enough!

[@relebohileinnocent1550]

What a vivid explanation! From now on I am your student. Compares to videos of Lagrangian equation derivation I have seen on UA-cam, you are the best.

[@DrJuanKlopper]

You're very welcome! Thank you for the kind words.

[@abufares1223]

Since 2014, this video still gives a comprehensive explanation of the Euler Lagrange Equation that helps many students like me. Good job..thank you so much.

[@DrJuanKlopper]

Thank you so much!

[@ganeshiyer6653]

This isn’t knowledge or intelligence, just sheer wisdom!

[@DrJuanKlopper]

Many, many thanks Ganesh.

[@JohnSmith-kj2od]

I can't thank you enough, I don't have the time to gain comfort in multivariable calculus but always need to understand this equation, I honestly cannot convey how much of a blessing this lecture is

[@DrJuanKlopper]

Hi John. That is very kind of you. I am happy that the video could be of help.

[@amitmaurya4566]

Thank you from India it really helped me , as i most professor skips this derivation.

[@DrJuanKlopper]

Glad it helped Amit!

[@ilikecucumbers4223]

thanks the video helped me a lot because im trying to understand this stuff without a background in multivariable calculus and you explaining the basics really helped

[@DrJuanKlopper]

Glad it helped! Cucumbers? Not my favorite, but I eat it :)

[@jwarha7797]

This is beautiful maths indeed. Thank you.

[@FranckRussia]

This is a great video saving my life 😃😃
Thank you sir

[@pantelisnikolaou6956]

Thank you so much sir for this video. Beautifully explained.

[@sandnerdaniel]

Great lecture on the principle of least action!

[@DrJuanKlopper]

Thanks Daniel.

[@ombie9439]

Thank you for the great explanation Sir!!..felt like Rowan Atkinson himself teaching us Math

[@DrJuanKlopper]

Now that put a smile on my face! Thanks.

[@lazemjam7747]

Thank you very much for this lecture

[@nickpgr10]

Your explanation is the best one so far sir. Thanks many many times. Please upload videos on port hamiltonian systems if it is possible for you.

[@DrJuanKlopper]

Thank you very much for the kind words Nikhil.

[@rangamurali7667]

Prof doing an incredibly outstanding job of explaining the derivation, sorry for mistyping earlier.

[@danieldiaz-xi5bw]

Pretty awesome Video ! greetings from Mexico 🇲🇽!

[@DrJuanKlopper]

Hey, thanks Daniel. I visited Mexico a few years ago. Just rented a car and explored the country. It was a wonderful experience.

[@md.rumman5754]

Thanks a lot sir.

[@DrJuanKlopper]

Most welcome. My pleasure.

[@YualChiek]

Excellent explanation!

[@NoNTr1v1aL]

Amazing video!

[@DrJuanKlopper]

Thank you Mohammed.

[@johnmosugu]

Thank you very much Juan Klopper for this wonderful video on Euler-Lagrange equation! You made Calculus of variations look so easy. I think I prefer the part you used the chain rule for partial differentiation. I have not been able to understand the Taylor series expansion approach. Can you make a video on that too?

[@lucacolla]

Standing ovation

[@DrJuanKlopper]

Thank you very much Luca. This comment made my day.

[@charlesokoh3373]

incredible
nice video

[@DrJuanKlopper]

Thank you very much!

[@snowpanther8092]

D

[@zweisteinya]

Change the 't' to an 'x' and you get "the Calculus of Variations"