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    Eigenvalues of $(xu')'=-\lambda u/x$ with mixed boundary conditions

    P-TRIV-DE31

    Area
    Prelim
    Status
    draft
    Contents

    Find the non-zero solutions of

    \[ \left( x u ^ { \prime } ( x ) \right) ^ { \prime } = - \lambda \frac { u ( x ) } { x }\tag{39} \]

    such that \(u ( 1 ) = 0\) and \(u ^ { \prime } ( e ) = 0\) . What values of λ are allowed?

    Solution submission

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