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

question 30

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 \(R ( 2 ) = 0 , T ^ { \prime \prime } - \lambda T = 0 , T ^ { \prime } ( 0 ) = 0\)

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