Use the Fourier sine series found in Problem 3(b), Sec. 5, for f(x) = x² to obtain the correspondence Σ x²~2c² n=1 (−1)n+1 nπ 2 1 − (−1)n] (nπ)³ sin nлX с (0 < x < π) (0 < x < c).

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Chapter2: Second-order Linear Odes
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3. Use the Fourier sine series found in Problem 3(b), Sec. 5, for
f(x) = x²
to obtain the correspondence
∞
x² ~ 26² Σ
n=1
(−1)n+1
nπ
-21-6-1²
sin
nTX
с
(0 < x < π)
(0 < x < c).
Transcribed Image Text:3. Use the Fourier sine series found in Problem 3(b), Sec. 5, for f(x) = x² to obtain the correspondence ∞ x² ~ 26² Σ n=1 (−1)n+1 nπ -21-6-1² sin nTX с (0 < x < π) (0 < x < c).
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