Question: Using the Galerkin method, calculate the approximate solution of the following differential equation in the form of (u(x)=c_{1} x+c_{2} frac{1}{2} x^{2}). du =X 0x1 dx

Using the Galerkin method, calculate the approximate solution of the following differential equation in the form of \(u(x)=c_{1} x+c_{2} \frac{1}{2} x^{2}\).

du =X 0x1 dx dx u(0)=0 du (1)=1. dx

du =X 0x1 dx dx u(0)=0 du (1)=1. dx

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