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Find the eigenvalues ?n and eigenfunctions yn(x) for the given boundary-value problem. (Give your answers in terms...

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Advance Math

Find the eigenvalues ?n and eigenfunctionsyn(x) for the given boundary-value problem. (Give youranswers in terms of k, making sure that each value ofk corresponds to two unique eigenvalues.)

y'' + ?y = 0,  y(??) = 0,  y(?) = 0

?2k ? 1 =, k=1,2,3,...

y2k ? 1(x) =, k=1,2,3,...

?2k =, k=1,2,3,...

y2k(x) =, k=1,2,3,...

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