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.) у" + Лу 3D 0, у(о) %3 0, у(п/3) %3 о A, = 4n?, Vn = sin(2nx), n = 1,2,3,.. a. A, = 36n?, Vn=sin(6nx), n= 1,2,3,.. A, = 25n2, b. Vn = sin(5nx), n= 1,2,3,... с. d. A, = 9n?, Vn = sin(3nx), n = 1,2,3,...
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.) у" + Лу 3D 0, у(о) %3 0, у(п/3) %3 о A, = 4n?, Vn = sin(2nx), n = 1,2,3,.. a. A, = 36n?, Vn=sin(6nx), n= 1,2,3,.. A, = 25n2, b. Vn = sin(5nx), n= 1,2,3,... с. d. A, = 9n?, Vn = sin(3nx), 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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Transcribed Image Text: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.)
y" + Ay = 0, y(0) = 0, y(n/3) = 0
1, = 4n?,
Vn = sin(2nx), n= 1,2,3,..
a.
A, = 36n?, V,=sin(6nx), n= 1,2,3,...
A, = 25n?, V,= sin(5nx), n= 1,2,3,..
b.
C.
A, = 9n?,
Vn = sin(3nx), n= 1,2,3,..
d.
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