Use the finite element method to approximate the solution to the boundary value problem

Carefully explain how you are setting up the problem. Plot the resulting solutions and compare your answer with the exact solution. You should use an equally spaced mesh, but try at least three different mesh spacings and compare your results. By inspecting the errors in your various approximations, can you predict how many mesh points would be required for 6 digit accuracy?

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= 1, u(0) = u(2) = 0. du %3D dx dx