Find the eigenvalues 1, 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.) у" + Лу 3D 0, у(о) %3 0, у(п/3) %3 о A, = 4n?, Vn = sin(2nx), n = 1,2,3,.. a. A, = 36n?, Vn=sin(6nx), n= 1,2,3,.. A, = 25n2, b. Vn = sin(5nx), n= 1,2,3,... с. d. A, = 9n?, Vn = sin(3nx), n = 1,2,3,...

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