複選題

6. (5%) Which boundary value problems have nontrivial solutions? (Trivial solution is defined as y(x) = 0.)
(A) y" + 2y' - 3y = 0; y(0) = 0, y'(1) = 0
(B) y" = 0; y(-1) = 0, y(1) – 2y'(1) = 0
(C) y" + y = 0; y(0) = 0, y(π) = 0
(D) y" + y = 0; y(0) = 0, y(π) = 1

(E) All of above

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