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Consider the functional ·b S[y]) = [* dz (v². dữ [ y sinh x 2y/2 sinh 9 y(a) = A, y(b) = B, 0

Consider the functional ·b S[y]) = [* dz (v². dữ [ y sinh x 2y/2 sinh 9 y(a) = A, y(b) = B, 0

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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Solve the associated Euler–Lagrange equation for the functional.

Consider the functional 1= do (s® sinh T (22 dx ử a S[y] 2y¹² sinh x 2 y(a) = A, y(b) = B, 0 < a <b.
Transcribed Image Text:Consider the functional 1= do (s® sinh T (22 dx ử a S[y] 2y¹² sinh x 2 y(a) = A, y(b) = B, 0 < a <b.
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