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Consider the boundary value problem X ′′ +λX=0 , X ′ (0)=0 , X′(π)=0 . Find...

Consider the boundary value problem X ′′ +λX=0 , X ′ (0)=0 , X′(π)=0 . Find all real values of λ for which there is a non-trivial solution of the problem and find the corresponding solution.

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