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Unformatted text preview: 3. Use the Rayleigh-Ritz method with the trial form y x + x (1-x )( c 1 + c 2 x ) to obtain an approximate solution of the boundary value problem [ xy ( x )] + y ( x ) = x, y (0) = 0 , y (1) = 1 Notice that this is not an eigenvalue problem, but because of the self-adjoint form of the dierential operator, the variational method can still be applied! Explain why this is the case and how you would go about rening your approx-imate solution....
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This note was uploaded on 12/29/2011 for the course CHE 230a taught by Professor Ghf during the Fall '10 term at UCSB.
- Fall '10
- Chemical Engineering