(a) The eigenfunctions of the following eigenvalue problem: X" + XX=0, X(0)= X(x)=0 are given by X,(n = 1,2,3,.--) = (A) sin(nx) (B) sin(n²x) (C) cos(nz) (D) cos(n²z)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) The eigenfunctions of the following eigenvalue problem:
X" + XX=0, X(0)= X(z)=0
are given by X, (n = 1,2,3,-) =
(A) sin(nx)
(B) sin(n²1)
(C) cos(nz)
(D) cos(n²z)
Transcribed Image Text:3 (a) The eigenfunctions of the following eigenvalue problem: X" + XX=0, X(0)= X(z)=0 are given by X, (n = 1,2,3,-) = (A) sin(nx) (B) sin(n²1) (C) cos(nz) (D) cos(n²z)
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