The Solution Of $r ^ { 2 } R ^ { \prime \prime } + r R ^ { \prime } + \lambda R = 0 , R ( 1 ) = 0 , R ( 2 ) = 0$

question 16

Multiple Choice

The solution of $r ^ { 2 } R ^ { \prime \prime } + r R ^ { \prime } + \lambda R = 0 , R ( 1 ) = 0 , R ( 2 ) = 0$ is

• A) \(\lambda = n \pi / \ln 2 , R = \sin ( n \pi \ln r / \ln 2 )\)
• B) \(\lambda = ( n \pi / \ln 2 ) ^ { 2 } , R = \sin ( n \pi \ln r / \ln 2 )\)
• C) \(\lambda = ( n \pi / \ln 2 ) ^ { 2 } , R = \cos ( n \pi \ln r / \ln 2 )\)
• D) \(\lambda = n \pi / \ln 2 , R = \cos ( n \pi \ln r / \ln 2 )\)
• E) none of the above

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