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(12 points) Find the admissible curve y(:r) which minimizes My) = _/D gouge: subject to the boundary conditions y(0) = y(1) = 0 and the

(12 points) Find the admissible curve y(:r) which minimizes My) = _/D gouge: subject to the boundary conditions y(0) = y(1) = 0 and the integral side condition 1 J(y)=/0 ydx=1

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