Which boundary conditions of the Sturm-Liouville problem y" + iy 0, 0 < x < 1 determine the orthogonal basis in L2([0, 1]) for the Fourier sine series
Which boundary conditions of the Sturm-Liouville problem y" + iy 0, 0 < x < 1 determine the orthogonal basis in L2([0, 1]) for the Fourier sine series
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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![Which boundary conditions of the Sturm-Liouville problem y"+ ày = 0, 0 < x < 1 determine the orthogonal
basis in L?([0, 1]) for the Fourier sine series
S(x) = E bn sin(Tnx).
n=1
(A) f(0) = f(1), f"(0) = f'(1) (B) f'(0) = f(0), f'(1) = f(1) (C) f(0) = 0, f(1) = 0
%3D
(D) f'(0) = 0, f"(1) = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde713f11-019d-4344-a888-a5844cb97cd1%2F1644ee11-65d6-459f-bb4f-7749ac742958%2F3z85mh8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which boundary conditions of the Sturm-Liouville problem y"+ ày = 0, 0 < x < 1 determine the orthogonal
basis in L?([0, 1]) for the Fourier sine series
S(x) = E bn sin(Tnx).
n=1
(A) f(0) = f(1), f"(0) = f'(1) (B) f'(0) = f(0), f'(1) = f(1) (C) f(0) = 0, f(1) = 0
%3D
(D) f'(0) = 0, f"(1) = 0
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