Suppose a Sturm-Liouville problem has self-adjoint form (pu')' - qu + Awu = 0 (a < x < B) where p, p', q, w are each continuous on a
Suppose a Sturm-Liouville problem has self-adjoint form (pu')' - qu + Awu = 0 (a < x < B) where p, p', q, w are each continuous on a
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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![Suppose a Sturm-Liouville problem has self-adjoint form
(pu')' - qu + Awu = 0 (a < x < B)
where p, p', q, w are each continuous on a <x < B and are both positive on a < x <B. and the
eigenfunctions um, Un corresponding to distinct eigenvalues of the problem satisty
What is the value of
Safum(x)u,(x)w(x)dx ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a6e05c5-0d2a-420c-9ac6-b854b2c49c79%2F09138ec3-2c30-4794-866b-8b14519e1713%2F6rqbj7r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose a Sturm-Liouville problem has self-adjoint form
(pu')' - qu + Awu = 0 (a < x < B)
where p, p', q, w are each continuous on a <x < B and are both positive on a < x <B. and the
eigenfunctions um, Un corresponding to distinct eigenvalues of the problem satisty
What is the value of
Safum(x)u,(x)w(x)dx ?
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