n/2 dx 2xy + dy dt dt such that Show that the functional , 1 dt x (0) = 0, x (R/2) = - 1, y (0) = 0, y (T/2) = is stationary for x =-sin t, y = sin t. %3D

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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dy
dt
(dz
dt such that
Show that the functional
dt
x (0) = 0, x (1/2) = - 1, y (0) = 0, y (T/2) = 1 is stationary for x =-sin t, y = sin t.
%3D
2.
Transcribed Image Text:dy dt (dz dt such that Show that the functional dt x (0) = 0, x (1/2) = - 1, y (0) = 0, y (T/2) = 1 is stationary for x =-sin t, y = sin t. %3D 2.
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