Question: A constant A ER and a function y: [-,] R are said to be an eigenvalue and an eigenfunction, respectively, of the following Sturm-Liouville

A constant A ER and a function y: [-,] R are said

A constant A ER and a function y: [-,] R are said to be an eigenvalue and an eigenfunction, respectively, of the following Sturm-Liouville problem if [y"(x) = xy(x) for x (-, ) [y(-) = y(), y'(-x) ='() (2a) Can A = 0 be an eigenvalue of the above Sturm-Liouville problem? If your answer is YES, then find the corresponding eigenfunction. On the other hand, if your answer is NO, justify your answer. (2b) Does there exist an eigenvalue X

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