Question: By finding and solving the Euler-Lagrange equations, determine the station- ary function u(x) for the functional I [u] = u' (1 + xu')dx, with the

By finding and solving the Euler-Lagrange equations, determine the station- ary

By finding and solving the Euler-Lagrange equations, determine the station- ary function u(x) for the functional I [u] = u' (1 + xu')dx, with the boundary conditions u(1) = 0, u(2) = 1. Hint: you should see a Cauchy-Euler equation]

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