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Consider the following functional where * = . 1[x] = f*cos(x(i))*(r) dr

Consider the following functional where * = . 1[x] = f*cos(x(i))*(r) dr

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Show that the Euler-Lagrange equation gives no constraint on the function x(t). (b) Give a simple explanation why this is the case.  (c) Give another seemingly non-trivial example of a functional which leads to a trivial Euler-Lagrange equation. Baue

Consider the following functional where *=. 1(x) = ²* cos(x(t))*(t)dr
Transcribed Image Text:Consider the following functional where *=. 1(x) = ²* cos(x(t))*(t)dr
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