Consider the functional cb = [* dx (1² f S[y] dx | g” sinh x 2y¹2 sinh x " y(a) = A, y(b) = B, 0 < a
Consider the functional cb = [* dx (1² f S[y] dx | g” sinh x 2y¹2 sinh x " y(a) = A, y(b) = B, 0 < a
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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What is the associated Euler-Lagrange equation for the functional?
Transcribed Image Text:Consider the functional
ob
SI 1-dz (1² sinhz - 242²)
=
sinh
"
y(a) = A, y(b) = B, 0 <a<b.
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Solve the associated Euler–Lagrange equation for the functional.
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