-(r/Y = xu(r), IE (1,2). y(1) 0, y(2) =0. Consider the Sturm-Liouville eigenvalue problem: (P6): Jse an energy method (Rayleigh quotient) to show that all eigenvalues must be positive. ind all eigenvalues and their corresponding eigenfunctions.

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Chapter2: Second-order Linear Odes
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-(r/Y = u(r), E (1,2).
Lu(1) = 0, y(2) = 0.
• Use an energy method (Rayleigh quotient) to show that all eigenvalues must be positive.
{
Consider the Sturm-Liouville eigenvalue problem: (P6):
%3D
Find all eigenvalues and their corresponding eigenfunctions.
Transcribed Image Text:-(r/Y = u(r), E (1,2). Lu(1) = 0, y(2) = 0. • Use an energy method (Rayleigh quotient) to show that all eigenvalues must be positive. { Consider the Sturm-Liouville eigenvalue problem: (P6): %3D Find all eigenvalues and their corresponding eigenfunctions.
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