Problem 2 Let {₁(x), 2(x),..., n(x)} be an orthogonal set over an interval [-3,3] with |||| = 2, where : [-3,3] → R. Let a real valued function f has an orthogonal expansion f(x) = Ei=1(i+1) di(x). Compute (f(x), $2(x)).
Problem 2 Let {₁(x), 2(x),..., n(x)} be an orthogonal set over an interval [-3,3] with |||| = 2, where : [-3,3] → R. Let a real valued function f has an orthogonal expansion f(x) = Ei=1(i+1) di(x). Compute (f(x), $2(x)).
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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![Problem 2
Let {₁(x), ₂(x), ..., n(x)} be an orthogonal set over an interval [-3, 3] with |||| = 2, where : [-3, 3] →
R. Let a real valued function f has an orthogonal expansion f(x) = -1(i + 1) (x).
Compute
(f(x), $₂(x)).
Ans: 12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca6b5de9-d666-4be4-bec5-372f49facd74%2F9d1d1dab-418f-4b7e-ab5d-855bcd230088%2Fj3wo1dw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2
Let {₁(x), ₂(x), ..., n(x)} be an orthogonal set over an interval [-3, 3] with |||| = 2, where : [-3, 3] →
R. Let a real valued function f has an orthogonal expansion f(x) = -1(i + 1) (x).
Compute
(f(x), $₂(x)).
Ans: 12
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