In the Previous Problem, After Separating Variables, the Resulting Problems $r R ^ { \prime \prime } - R ^ { \prime } + \lambda r R = 0 , R ( 0 )$

In the previous problem, after separating variables, the resulting problems are

A) $r R ^ { \prime \prime } - R ^ { \prime } + \lambda r R = 0 , R ( 0 )$ is bounded, $R ( 2 ) = 0 , Z ^ { \prime \prime } + \lambda Z = 0 , Z ( 3 ) = 0$
B) $r R ^ { \prime \prime } + R ^ { \prime } - \lambda r R = 0 , R ( 0 )$ is bounded, $R ( 2 ) = 0 , Z ^ { \prime \prime } - \lambda Z = 0 , Z ( 3 ) = 0$
C) $r R ^ { \prime \prime } - R ^ { \prime } - \lambda r R = 0 , R ( 0 )$ is bounded, $R ( 2 ) = 0 , Z ^ { \prime \prime } - \lambda Z = 0 , Z ( 3 ) = 0$
D) $r R ^ { \prime \prime } + R ^ { \prime } + \lambda r R = 0 , R ( 0 )$ is bounded, $R ( 2 ) = 0 , Z ^ { \prime \prime } - \lambda Z = 0 , Z ( 3 ) = 0$
E) $r R ^ { \prime \prime } + R ^ { \prime } + \lambda r R = 0 , R ( 0 )$ is bounded, $R ( 2 ) = 0 , Z ^ { \prime \prime } + \lambda Z = 0 , Z ( 3 ) = 0$

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