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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
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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