Show graphically that sin x and cos 3x are orthogonal functions over the interval [-2j, 2jπ] where for the purposes of our discussion j is a very large integer. Also show graphically that 22 (sin mx) (sin nx)dx ‡ 0 for n = = m = 1. -2jπ

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Show graphically that sin x and cos 3x are orthogonal functions over the
interval [-2jπ, 2jπ] where for the purposes of our discussion j is a very
large integer. Also show graphically that 22 (sin mx) (sin nx)dx ‡0
-2jπ
for n = m = 1.
Transcribed Image Text:Show graphically that sin x and cos 3x are orthogonal functions over the interval [-2jπ, 2jπ] where for the purposes of our discussion j is a very large integer. Also show graphically that 22 (sin mx) (sin nx)dx ‡0 -2jπ for n = m = 1.
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