(a) Determine the extremal y(x) of the functional /2 J(y) = [][v (v')] dr subject to...

 

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(a) Determine the extremal y(x) of the functional /2 J(y) = [""][v (v')] dr subject to y(0) = 0 and y(7/2) = 1. What is the corresponding value of J? Is it a maximum or a minimum? (b) What happens if the integrand is changed to y + xy', all other conditions remaining the same? (a) Determine the extremal y(x) of the functional /2 J(y) = [""][v (v')] dr subject to y(0) = 0 and y(7/2) = 1. What is the corresponding value of J? Is it a maximum or a minimum? (b) What happens if the integrand is changed to y + xy', all other conditions remaining the same?