Find the smallest interval in x over which the functions sin(x/xo) and cos(Tx/xo) are orthogonal. On the same interval, are the following pairs of functions orthogonal? a) sin(x/ro) and sin(27x/xo). b) sin(x/ro) and sin(Tx/xo). c) sin(x/xo) and sin(Tx/2x0).

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the smallest interval in x over which the functions sin(x/xo) and
cos(Tx/xo) are orthogonal. On the same interval, are the following pairs
of functions orthogonal?
a) sin(x/x₁) and sin(2πx/xo).
b) sin(x/xo) and sin(x/xo).
c) sin(x/xo) and sin(x/2x).
Transcribed Image Text:Find the smallest interval in x over which the functions sin(x/xo) and cos(Tx/xo) are orthogonal. On the same interval, are the following pairs of functions orthogonal? a) sin(x/x₁) and sin(2πx/xo). b) sin(x/xo) and sin(x/xo). c) sin(x/xo) and sin(x/2x).
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