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Consider 100 f(x) = Σ am sin mx = a₁ sin x + a2 sin 2x + . m=1 Show that an = T T + a100 sin 100.c. f(x) sin nx dx for 1 ≤ n ≤ 100. da

Consider 100 f(x) = Σ am sin mx = a₁ sin x + a2 sin 2x + . m=1 Show that an = T T + a100 sin 100.c. f(x) sin nx dx for 1 ≤ n ≤ 100. da

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Consider 100 f(x) = Σ am Sin am sin mx = a₁ sin x + a2 sin 2x + m=1 Show that an - π T 9. + a100 sin 100x. f(a) sinna da for 1 ≤ n ≤ 100.
Transcribed Image Text:3. Consider 100 f(x) = Σ am Sin am sin mx = a₁ sin x + a2 sin 2x + m=1 Show that an - π T 9. + a100 sin 100x. f(a) sinna da for 1 ≤ n ≤ 100.
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