Question: Please help me with the following eigenvalue problem: X(9:) = AX(:E), for a: E [0, L] X(0) = 0,X(L) = 0. Find the values of

Please help me with the following eigenvalue problem:
![for a: E [0, L] X(0) = 0,X(L) = 0. Find the](https://s3.amazonaws.com/si.experts.images/answers/2024/06/6673b8a17c0e9_9376673b8a158560.jpg)
X"(9:) = AX(:E), for a: E [0, L] X(0) = 0,X(L) = 0. Find the values of L for which /\\ = 10 is an eigenvalue (that is the equation X \" = 10X with boundary conditions X (0) = X (L) = 0 has non trivial solutions)
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