After Separating Variables in the Previous Problem, the Eigenvalue Problem $X ^ { \prime \prime } + \lambda X = 0 , X ( 0 ) = 0 , X ( L ) = 0$

Multiple Choice

After separating variables in the previous problem, the eigenvalue problem becomes

A) $X ^ { \prime \prime } + \lambda X = 0 , X ( 0 ) = 0 , X ( L ) = 0$
B) $X ^ { \prime \prime } + \lambda X = 0 , X ( 0 ) = 0 , X ^ { \prime } ( L ) = - h X ( L )$
C) $X ^ { \prime \prime } + \lambda X = 0 , X ( 0 ) = 0 , X ( L ) = - h X ^ { \prime } ( 0 )$
D) $X ^ { \prime \prime } + \lambda X = 0 , X ( 0 ) = 0 , X ^ { \prime } ( L ) = 0$
E) $X ^ { \prime \prime } + \lambda X = 0 , X ( 0 ) = 0 , X ^ { \prime } ( L ) = h X ( L )$