In the Previous Problem, the Solution of the Eigenvalue Problem $\lambda = n \pi , T = a _ { n } \cos ( n \pi i ) + b _ { n } \sin ( n \pi t )$

question 19

Multiple Choice

In the previous problem, the solution of the eigenvalue problem is

• A) \(\lambda = n \pi , T = a _ { n } \cos ( n \pi i ) + b _ { n } \sin ( n \pi t )\)
• B) \(\lambda = n ^ { 2 } \pi ^ { 2 } , T = a _ { n } \cos ( n \pi t ) + b _ { n } \sin ( n \pi t )\)
• C) \(\lambda = z _ { n } ^ { 2 } / 4\) , where \(J _ { 0 } \left( z _ { n } \right) = 0 , R = J _ { 0 } \left( z _ { n } r / 2 \right)\)
• D) \(\lambda = z _ { n } / 2\) , where \(J _ { 0 } \left( z _ { n } \right) = 0 , R = J _ { 0 } \left( z _ { n } r / 2 \right)\)
• E) \(\lambda = z _ { n } ^ { 2 }\) , where \(J _ { 0 } \left( z _ { n } \right) = 0 , R = J _ { 0 } \left( z _ { n } r \right)\)