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Weak statement for Galerkin Method

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Old   March 26, 2010, 20:19
Default Weak statement for Galerkin Method
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I have the equation -∇^2u+u-x^2=0 where u(0)=u(1)=0.
I need to solve it using Galerkin Method using the approximation of psi=sin(n*pi*x). I've already solved the exact solution but when I work out the Galerkin method I only get half a sine wave. I believe I'm messing up the weak statement. Could somebody walk me through the method to construct a weak statement?
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