Unformatted text preview: 3. Use the RayleighRitz method with the trial form y ≈ x + x (1x )( 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 selfadjoint form of the diﬀerential operator, the variational method can still be applied! Explain why this is the case and how you would go about reﬁning your approximate solution....
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 Fall '10
 Ghf
 Chemical Engineering, Thermodynamics, Heat Transfer, Boundary value problem, Santa Barbara, Department of Chemical Engineering, Glenn Fredrickson

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