In the Previous Problem, After Separating Variables Using $u ( r , t ) = R ( r ) T ( t )$

Multiple Choice

In the previous problem, after separating variables using $u ( r , t ) = R ( r ) T ( t )$ . the resulting problems are

A) $r R ^ { \prime \prime } + R ^ { \prime } + r \lambda R = 0 , R ( 0 )$ is bounded $R ( 2 ) = 0 , T ^ { \prime \prime } - \lambda T = 0 , T ^ { \prime } ( 0 ) = 0$
B) $r R ^ { \prime \prime } + R ^ { \prime } + r \lambda R = 0 , R ( 0 )$ is bounded $R ( 2 ) = 0 , T ^ { \prime \prime } + \lambda T = 0 , T ^ { \prime } ( 0 ) = 0$
C) $r R ^ { \prime \prime } + R ^ { \prime } - r \lambda R = 0 , R ( 0 )$ is bounded $R ( 2 ) = 0 , T ^ { \prime \prime } + \lambda T = 0 , T ^ { \prime } ( 0 ) = 0$
D) $r R ^ { \prime \prime } + R ^ { \prime } + \lambda R = 0 , R ( 0 )$ is bounded $R ( 2 ) = 0 , T ^ { \prime \prime } + \lambda T = 0 , T ^ { \prime } ( 0 ) = 0$
E) $r R ^ { \prime \prime } + R ^ { \prime } + \lambda R = 0 , R ( 0 )$ is bounded $R ( 2 ) = 0 , T ^ { \prime \prime } - \lambda T = 0 , T ^ { \prime } ( 0 ) = 0$