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Unformatted text preview: the general solution y ( x ) that minimizes E given y (0) = 0. 3. Find the general solution of the EulerLagrange equation for J ( y ) = Z b a p x (1 + y 2 ) dx 4. Consider the functional J ( y ) = Z b a p ( x 2 + y 2 )(1 + y 2 ) dx (a) Use the polar coordinates with r being a function of to change J ( y ) to a functional in terms of r , r and . (b) Derive the corresponding EulerLagrange equation and simplify it as much as possible....
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This note was uploaded on 02/20/2011 for the course MATH 503 taught by Professor Schleiniger,g during the Fall '08 term at University of Delaware.
 Fall '08
 Schleiniger,G
 Math, Calculus

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