Uploaded October 2017 | Updated September 2026, 2 weeks ago
After 1 month of self-imposed exile to Med School Island (my apologies for the long wait btw), I'm finally back with a video! This time, I've made a tutorial on deriving the Beltrami Identity for Calculus of Variations. The Beltrami Identity is an equation which arises from the Euler-Lagrange equation when the integrand of the functional has no explicit or direct dependence on the independent variable x.
This was originally supposed to be part of my Brachistochrone problem video, but I decided to make it an independent topic to avoid confusion.
Questions/requests? Let me know in the comments!
Euler-Lagrange Derivation: youtube.com/watch?v=sFqp2lCEvwM
Prerequisites: The first two videos of this playlist: youtube.com/playlist?list=PLdgVBOaXkb9CD8igcUr9Fmn5WXLpE8ZE_
Lecture Notes: drive.google.com/file/d/0BzC45hep01Q4a1EzWFYwWVhtQjQ/view?usp=sharing&resourcekey=0-vQBNZyZVzQypJ9vumLNhVg
Patreon: patreon.com/user?u=4354534
Twitter: twitter.com/FacultyOfKhan?lang=en
After 1 month of self-imposed exile to Med School Island (my apologies for the long wait btw), I'm finally back with a video! This time, I've made a tutorial on deriving the Beltrami Identity for Calculus of Variations. The Beltrami Identity is an equation which arises from the Euler-Lagrange equation when the integrand of the functional has no explicit or direct dependence on the independent variable x.
This was originally supposed to be part of my Brachistochrone problem video, but I decided to make it an independent topic to avoid confusion.
Questions/requests? Let me know in the comments!
Euler-Lagrange Derivation: youtube.com/watch?v=sFqp2lCEvwM
Prerequisites: The first two videos of this playlist: youtube.com/playlist?list=PLdgVBOaXkb9CD8igcUr9Fmn5WXLpE8ZE_
Lecture Notes: drive.google.com/file/d/0BzC45hep01Q4a1EzWFYwWVhtQjQ/view?usp=sharing&resourcekey=0-vQBNZyZVzQypJ9vumLNhVg
Patreon: patreon.com/user?u=4354534
Twitter: twitter.com/FacultyOfKhan?lang=en
