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S [x, y] = 1 dt (x² + y²+xÿ), x(0) = y(0) = 0, x(1) = X, y(1) = Y. = √² dt S Hence show that the stationary path is x = = Xt, y = Yt.

S [x, y] = 1 dt (x² + y²+xÿ), x(0) = y(0) = 0, x(1) = X, y(1) = Y. = √² dt S Hence show that the stationary path is x = = Xt, y = Yt.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 4YT
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S [x, y] = [ dt (x² + y² + xy), x(0) = y(0) = 0, x(1) = X, y(1) = Y. Hence show that the stationary path is x = Xt, y = Yt.
Transcribed Image Text:S [x, y] = [ dt (x² + y² + xy), x(0) = y(0) = 0, x(1) = X, y(1) = Y. Hence show that the stationary path is x = Xt, y = Yt.
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