3. Prove that the set S = { co COS ηπχ ,sin ηπχ : n = 1, 2, 3, ...} is orthogonal in PC[-L, L]. 4. Is the set S an orthonormal set in PC[-L, L]? How do you know?
3. Prove that the set S = { co COS ηπχ ,sin ηπχ : n = 1, 2, 3, ...} is orthogonal in PC[-L, L]. 4. Is the set S an orthonormal set in PC[-L, L]? How do you know?
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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![3. Prove that the set S =
{ 1, c
COS
ηπχ
(TTX), sin
L
ηπχ
L
:n=
1, 2, 3, ...} is orthogonal in
PC[-L, L].
4. Is the set S an orthonormal set in PC[−L, L]? How do you know?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F211e1379-e000-4a52-bb6c-3d63201162bb%2Fa9006321-0f3a-426c-a495-5a32982d78cc%2Fbn8omee_processed.png&w=3840&q=75)
Transcribed Image Text:3. Prove that the set S =
{ 1, c
COS
ηπχ
(TTX), sin
L
ηπχ
L
:n=
1, 2, 3, ...} is orthogonal in
PC[-L, L].
4. Is the set S an orthonormal set in PC[−L, L]? How do you know?
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