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
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number 4!!!

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?
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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