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Differential EquationsEasyBoundary Values & Fourier Series

Boundary Values & Fourier Series · Easy problem

Find the coefficient b4b_4 in the Fourier sine series ∑n≥1bnsin⁡nx\sum_{n\ge1} b_n\sin nx on [0,π][0, \pi] of f(x)=5sin⁡3xcos⁡xf(x) = 5\sin 3x\cos x.