Find the eigenvalues , 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.) x²y" + xy' + Ày = 0, y'(e¯') = 0, y(1) = 0 n = 1, 2, 3, ... Y,(x) = n = 1, 2, 3, ...

Find the eigenvalues , 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.) x²y" + xy' + Ày = 0, y'(e¯') = 0, y(1) = 0 n = 1, 2, 3, ... Y,(x) = n = 1, 2, 3, ...

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.)
x?y" + xy' + ly = 0, y'(e-1) = 0, y(1) = 0
n = 1, 2, 3, ...
Yo(x)
n = 1, 2, 3,...

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