Determine the extreme of the following functional: T/2 J(x) = | [x{(t) + * (t) + 2x1 (t)x2 (t)] dt Given the boundary conditions: x1(0) = 0, x1(t/2) = 1, x2(0) = 0, x2(t/2) = 1 %3D %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine the extreme of the following functional:
7/2
J(x) = | [x{(t) + x}(t) + 2x1 (t)x2 (t)] dt
%3|
Given the boundary conditions:
X1(0) = 0, x1(t/2) = 1, x2(0) = 0, x2(1/2) = 1
Transcribed Image Text:Determine the extreme of the following functional: 7/2 J(x) = | [x{(t) + x}(t) + 2x1 (t)x2 (t)] dt %3| Given the boundary conditions: X1(0) = 0, x1(t/2) = 1, x2(0) = 0, x2(1/2) = 1
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