3 If A, and A2 = 2 are the eigenvalues of 2 y(x) =1 (xt+x?²) y(t) dt with corresponding orthonormal eigenfunctions V10 x, and p,(x) = x?. 2 6. 9,(x) = Then, the IE, y(x)= x² +1+S cx+ x?t°) y(1) dt, has 2 Unique solution Infinitely many solutions No solution

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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If A,=
3
and A2 =
2
are the eigenvalues of
2
y(x) =1 (xt+x?²) y(t) dt
with corresponding orthonormal eigenfunctions
V10
9,(x) =-
x, and p,(x) =
x?.
2
Then, the IE,
y(x) = x? +1+ (xt+x?) y(1) dt, has
Unique solution
Infinitely many solutions
No solution
Transcribed Image Text:If A,= 3 and A2 = 2 are the eigenvalues of 2 y(x) =1 (xt+x?²) y(t) dt with corresponding orthonormal eigenfunctions V10 9,(x) =- x, and p,(x) = x?. 2 Then, the IE, y(x) = x? +1+ (xt+x?) y(1) dt, has Unique solution Infinitely many solutions No solution
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