What is the Gateaux differential & Euler-Lagrange equation?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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What is the Gateaux differential & Euler-Lagrange equation?

Let a, b and w be constants, with w ‡ 0.
S[y] = [² da (y^² + w²y² + 2y(a sin war + bsinhwa)),
dx
y(1) = 0, y(2) = 1,
Transcribed Image Text:Let a, b and w be constants, with w ‡ 0. S[y] = [² da (y^² + w²y² + 2y(a sin war + bsinhwa)), dx y(1) = 0, y(2) = 1,
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