Find the eigenvalues and eigenfunctions y(x) for the given boundary-value problem. (Give your answers in terms of n, making sure that each value of n corresponds to a unique eigenvalue.) x2y" + xy + y = 0, y(1) = 0, y'(e) = 0 20 Yn(x) = n = 1, 2, 3, ... n = 1, 2, 3, ...

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A: Given: 1. AB¯ has coordinates A-3,9 and B6,-12. 2. PQ¯ has coordinates P3,-6 and Q3,9.  To Find: 1.…