(a) Find the eigenvalues and elgenfunctions of 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"+y+ ay = 0, y(0)-0, (3) 0 Xn-1, 2, 3,... 1/4(x)= Xn-1,2,3,.. (b) Put the differential equation in self-adjoint form. 0 (c) Give an orthogonality relation. For men, TE ] ( , (۱) (x) dx = 0.
(a) Find the eigenvalues and elgenfunctions of 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"+y+ ay = 0, y(0)-0, (3) 0 Xn-1, 2, 3,... 1/4(x)= Xn-1,2,3,.. (b) Put the differential equation in self-adjoint form. 0 (c) Give an orthogonality relation. For men, TE ] ( , (۱) (x) dx = 0.
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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![(a) Find the eigenvalues and elgenfunctions of 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"+y+ ay = 0, y(0)-0, (3) 0
Xn-1, 2, 3,...
P(x)=
x = 1, 2, 3,..
(b) Put the differential equation in self-adjoint form.
0
[
(c) Give an orthogonality relation.
C
For men,
])(**)
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Transcribed Image Text:(a) Find the eigenvalues and elgenfunctions of 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"+y+ ay = 0, y(0)-0, (3) 0
Xn-1, 2, 3,...
P(x)=
x = 1, 2, 3,..
(b) Put the differential equation in self-adjoint form.
0
[
(c) Give an orthogonality relation.
C
For men,
])(**)
yo
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