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MA3475 – 1.
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2. (4 points) Find the extremals of the functional

3. (4 points) Find the extremals of the functional

subject to the boundary conditions y(0) = 0,y0(0) = 1,y(1) = 1,y0(1) = 1.
4. (4 points) Find the extremals of the functional

subject to the boundary conditions

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