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(12 points) Find the admissible curve y(a) with boundary conditions y(0) = 0 and y(1) = 1 which minimizes I(y) = (1 +y . (y')2)

(12 points) Find the admissible curve y(a) with boundary conditions y(0) = 0 and y(1) = 1 which minimizes I(y) = (1 +y . (y')2) dac

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