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

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Question

Basic Math

Find the eigenvalues

?n

and eigenfunctions

yn(x)

for the given boundary-value problem. (Give your answers interms of n, making sure that each value of ncorresponds to a unique eigenvalue.)

y'' + ?y = 0,  y(0) = 0,  y(?/6) = 0

?n =

  ,

n = 1, 2, 3,   

yn(x) =

  ,

n = 1, 2, 3,   

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