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.) y" + 2y = 0, y(0) = 0, y'(π/2) = 0 2=(2n-1)² yn(x) = ,n= 1, 2, 3, ... n = 1, 2, 3, ...

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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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.)
y" + 2y = 0, y(0) = 0, y'(¹/2) = 0
(2n-1)²
yn(x) =
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,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.) y" + 2y = 0, y(0) = 0, y'(¹/2) = 0 (2n-1)² yn(x) = Need Help? Read It ,n= 1, 2, 3, ... n = 1, 2, 3, ...
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