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Unformatted text preview: boundary conditions for φ ( x ) and G ( y ). (d) (1 Point) Find the eigenvalues and eigenfunctions corresponding to φ ( x ). (e) (1 Point) Write down the general inﬁnite series solution for u ( x , y ). For an extra point, apply the ﬁrst boundary condition above, and obtain the complete solution for u ( x , y ). Note: To receive full credit, all steps must be neatly shown. Writing down the ﬁnal results will receive no credit. 2 ...
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 Spring '07
 NeimanNassat
 Ode, Boundary value problem, Boundary conditions

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