2. Consider the square wave function, defined exclusively in the interval [-π, π]: (0, π

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Chapter2: Second-order Linear Odes
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2. Consider the square wave function, defined exclusively in the interval [-π, π]:
(0,
π<x<0
f(x) = { 0
0 < x < T
a.
Given that only fully periodic functions with period can be Fourier-expanded using sines and
cosines, how would you go about doing so with our square wave, which is only defined in
the interval [-T, π]?
b. Find the corresponding Fourier series.
Transcribed Image Text:2. Consider the square wave function, defined exclusively in the interval [-π, π]: (0, π<x<0 f(x) = { 0 0 < x < T a. Given that only fully periodic functions with period can be Fourier-expanded using sines and cosines, how would you go about doing so with our square wave, which is only defined in the interval [-T, π]? b. Find the corresponding Fourier series.
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