2) Expand the function shown in Fig. 1 into a Fourier series in three ways: +Y for 0 SxS Xo S(x) = lo for xo

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Chapter2: Second-order Linear Odes
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H3. 

2)
Expand the function shown in Fig. 1 into a Fourier series in three ways:
+Y
L for 0 <x < x,
f(x) =
0 for xo x S 2x0
2x0
Figure 1: Function to be expanded into Fourier series.
1. full-range expansion containing a constant and sine and cosine terms,
2. half-range expansion containing sine terms only and
3. half-range expansion containing cosine terms only.
Transcribed Image Text:2) Expand the function shown in Fig. 1 into a Fourier series in three ways: +Y L for 0 <x < x, f(x) = 0 for xo x S 2x0 2x0 Figure 1: Function to be expanded into Fourier series. 1. full-range expansion containing a constant and sine and cosine terms, 2. half-range expansion containing sine terms only and 3. half-range expansion containing cosine terms only.
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