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 y" + 2y = 0, y(0) = 0, y(x/3) = 0 2n = yn(x) = Need Help? ,n= 1, 2, 3, ... n = 1, 2, 3, ... Read It Watch It

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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(x/3) = 0
λn =
yn(x) =
Need Help?
, n = 1, 2, 3, ...
, n = 1, 2, 3, ...
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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(x/3) = 0 λn = yn(x) = Need Help? , n = 1, 2, 3, ... , n = 1, 2, 3, ... Read It Watch It
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