6. Consider the following differential equation: d2u ^ 2 ~ff x 0, 0 ...

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6. Consider the following differential equation:

d2u

^ 2 ~f"f x — 0, 0

u(x) = ClX + C2X2 Calculate the unknown coefficients using Galerkin method. Compare u{x) and du{x)jdx with the exact solution u(x) = 3.7 sinx — x by plotting the solution.

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