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  3. find the eigenvalues λn and eigenfunctions yn(x

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

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Question

Advance Math

Find the eigenvalues

λn

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.)

x2y'' + xy' + λy = 0,  y'(e−1) =0,  y(1) = 0

λn =

n = 1, 2, 3,   

yn(x) =

n = 1, 2, 3,   

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