The Solution of the Eigenvalue Problem $r R ^ { \prime \prime } + R ^ { \prime } + r \lambda R = 0 , R ( 0 )$

Multiple Choice

The solution of the eigenvalue problem $r R ^ { \prime \prime } + R ^ { \prime } + r \lambda R = 0 , R ( 0 )$ is bounded, $R ^ { \prime } ( 3 ) = 0$ is $\left( J _ { 0 } ^ { t } \left( z _ { n } \right) = 0 \right)$

A) $\lambda = z _ { n } ^ { 2 } , R = J _ { 0 } \left( z _ { n } r \right) , n = 1,2,3 , \ldots$
B) $\lambda = z _ { n } ^ { 2 } / 9 , R = J _ { 0 } \left( z _ { n } r / 3 \right) , n = 1,2,3 , \ldots$
C) $\lambda = z _ { n } , R = J _ { 0 } \left( z _ { n } r \right) , n = 1,2,3 , \ldots$
D) $\lambda = z _ { n } / 3 , R = J _ { 0 } \left( z _ { n } r / 3 \right) , n = 1,2,3 , \ldots$
E) $\lambda = z _ { n } , R = J _ { 0 } ( r ) , n = 1,2,3 , \ldots$