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Consider the following second-order ordinary differential equation: dy dx + 4y= 2x(1-x) The domain of x is from 0 to 1, with boundary conditions

Consider the following second-order ordinary differential equation: dy dx + 4y = 2x(1-x) The domain of x is 

Consider the following second-order ordinary differential equation: dy dx + 4y= 2x(1-x) The domain of x is from 0 to 1, with boundary conditions for y(x) as y(0) = 0 and y(1) = 0. Use approximate function: yapprox(x) = CW + CW Where C and C are unknown coefficients and the proposed weight functions are: W = xx and W = x(x - 1) Verify if the proposed approximation function satisfy the boundary conditions. Use the Galerkin Method to find the unknown coefficient.

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