2n+1If x,=cosTTX, are the eigenfunctions for the following IBVP2%3DU=u+cos(-x);0

This question is about application of boundary value problem

Answered: If x=cos n= cos 2 TIX, are the…

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If x=cos n= cos 2 TIX, are the eigenfunctions for the following IBVP u, =U+cos( x); + cos 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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2n+1 If x,=cos TEX, are the eigenfunctions for the following IBVP +co 0
السؤال .3 Solve the D. E. to the I. V.P. sinx(e+ 1)x - cosx = CONX 1, y(0) = 0 . In (1 + cos x) = 1+ e (1 e) (1 + cos x) = 40 (1+ e) (1 + cos x) (1 + e') (1 - cos x) 1+ cos x) = 1 + e (1-e)(1+ cos x) = 2
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The eigenvalues of the initial value problem y' +Ây=0, y(0)=0, y'(7)=0 are a) , = vn, for n=1,2,3,... b) 1, =n², for n=1,2,3,... c) 2, = 2n, for n=1,2,3,... d) , =, for n=1,2,3,... 2'
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