In the Previous Problem, the Solution of the Eigenvalue Problem $\lambda = z _ { n } ^ { 2 } / 4$

Multiple Choice

In the previous problem, the solution of the eigenvalue problem is

A) $\lambda = z _ { n } ^ { 2 } / 4$ , where $J _ { 0 } \left( z _ { n } \right) = 0 ; R = J _ { 0 } \left( z _ { n } r / 2 \right)$
B) $\lambda = z _ { n } ^ { 2 }$ , where $J _ { 0 } \left( z _ { n } \right) = 0 ; R = J _ { 0 } \left( z _ { n } r \right)$
C) $\lambda = n \pi / 9 , Z = \cos ( n \pi z / 3 )$
D) $\lambda = n ^ { 2 } \pi ^ { 2 } / 9 , Z = \cos ( n \pi z / 3 )$
E) $\lambda = n ^ { 2 } \pi ^ { 2 } / 9 , Z = \sin ( n \pi z / 3 )$