For the homogeneous Fredholm equation y(*)=2] sin(x+5) the'eigenvalue a and the corresponding eigen function y(x), involving arbitrary constants A and B, are 2 -2 (a) 1=,y(x)= A(sin x- cos x) (b) 1=(x)= B(sin x + cos x)., -2 (c) 2=,(x)= B(sin x- cosx) (d) a==,r(x)= A(sin x-+cosx) %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For the homogeneous Fredholm equation (x}=1]sin(x+s)y(s d5 the eigenvalue
2 and the corresponding eigen function y(x), involving arbitrary constants
A and B, are
-2
(b) 2=,y(x)= B(sin x+cosx),
2
(a) 1=, y(x)= A(sin x-cos x)
(c) 1=-4,y(x)= B(sin x- cosx) (d) 1 =,
=2,>(x)= A(sin x+cos x)
Transcribed Image Text:For the homogeneous Fredholm equation (x}=1]sin(x+s)y(s d5 the eigenvalue 2 and the corresponding eigen function y(x), involving arbitrary constants A and B, are -2 (b) 2=,y(x)= B(sin x+cosx), 2 (a) 1=, y(x)= A(sin x-cos x) (c) 1=-4,y(x)= B(sin x- cosx) (d) 1 =, =2,>(x)= A(sin x+cos x)
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