Find the eigenvalues i, 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" + ày = 0, y(0) = 0, y(a/5) = 0 An = ,n = 1, 2, 3, ... Yn(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
Question

52

Find the elgenvalues in and eigenfunctions yn(x) for the given boundary-value problem. (Glve your answers in terms of n, making sure that each value of n corresponds to a unique eigenvalue.)
y" + ay = 0, y(0) = 0, y(x/5) = 0
in =
,n = 1, 2, 3,...
Yn(x) =
,n = 1, 2, 3, -..
Transcribed Image Text:Find the elgenvalues in and eigenfunctions yn(x) for the given boundary-value problem. (Glve your answers in terms of n, making sure that each value of n corresponds to a unique eigenvalue.) y" + ay = 0, y(0) = 0, y(x/5) = 0 in = ,n = 1, 2, 3,... Yn(x) = ,n = 1, 2, 3, -..
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