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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 + 2y = 0, y(1) = 0, y'(e) = 0 2n +12 2 2 π An= × Yn(x) = wo) - 4, sin ( (2n + 1) z log(x))* 2 n = 1, 2, 3, ... 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 + 2y = 0, y(1) = 0, y'(e) = 0 2n +12 2 2 π An= × Yn(x) = wo) - 4, sin ( (2n + 1) z log(x))* 2 n = 1, 2, 3, ... n = 1, 2, 3, ...

Advanced Engineering Mathematics
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, 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 + 2y = 0, y(1) = 0, y'(e) = 0 2n +12 2 π 2 --- × = Yn(x) = (9) - 4,sin((2x + 1) z log(x)) * 2 n = 1, 2, 3, ... n = 1, 2, 3, ...
Transcribed Image Text: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 + 2y = 0, y(1) = 0, y'(e) = 0 2n +12 2 π 2 --- × = Yn(x) = (9) - 4,sin((2x + 1) z log(x)) * 2 n = 1, 2, 3, ... n = 1, 2, 3, ...
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