Find the path from the origin to the point x = y = 1 (in the x-y plane) that makes the integral s = [ [4/)* - [[W/)* + uw + v°] dz stationary, where y' = dy/dx. If appropriate, express your result in terms of a hyperbolic sine or cosine. Draw a rough qualitative sketch of the path, making sure to label the endpoints.
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Given:
The integral given is as follows:
The origin is at point x=y=1.
Introduction:
The Euler equation is a second-order partial differential equation whose solutions are the functions for which a given functional is stationary.
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