A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing

This Question is Closed

Carl_Pham
 2 years ago
Best ResponseYou've already chosen the best response.1http://en.wikipedia.org/wiki/Euler%E2%80%93Lagrange_equation Open the section labeled "Derivation of onedimensional EulerLagrange equation." All you're really doing is redoing the episilon/delta thing you did when you first derived derivatives of functions, however. It's just that you're working with functionals. That actually makes it easier, however, as functionals are usually much better behaved than functions.

henpen
 2 years ago
Best ResponseYou've already chosen the best response.0http://upload.wikimedia.org/math/f/6/e/f6ee48b778d912689720cd77e1f4a0b3.png This is true??

henpen
 2 years ago
Best ResponseYou've already chosen the best response.0\[F_{x} =x^2\] \[\frac{1}{dx}\int\limits_0^3x^2dt=\int\limits_0^32xdt\] The left side will be 0 and the right side not necessarily so.

henpen
 2 years ago
Best ResponseYou've already chosen the best response.0And can you explain how the fundamental Lemming applies here specifically?

henpen
 2 years ago
Best ResponseYou've already chosen the best response.0Also: where is the proof that the minimum occurs when epsilon is 0? I think it is assumed in this proof could you direct me to it?

Carl_Pham
 2 years ago
Best ResponseYou've already chosen the best response.1In the Wikipedia derivation you are taking the derivative of a *parameter* of the integrand, while in your example above you are switching the order of differentiation and integration with respect to the variable of integration  which is a definite nono. They are very different things. I think if you are not clear on when you can and can't differentiate under the integral, you need to get clear on that before you can tackle the calculus of variations.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.