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?
P-TRIV-DE31
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?