Find coefficients an and bn such that this is satisfied

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given that U(x,t)=Sumnation[An*cos(nt) + Bn*sin(nt)]*sin(nx)

satisfies Utt=Uxx o<x<pi; t>o

U(x,0)=3sin(2x) +7sin(5x)
Ut(x,0)=4sin(3x)-2sin(4x)

Find coefficients An and Bn such that this is satisfied.

Reference no: EM13179095

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