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Use separation of variables to find a series solution of utt = c 2uxx subject to...

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Advance Math

Use separation of variables to find a series solution ofutt = c 2uxx subject to u(0, t) =0,

ux(l, t) + u(l, t) = 0, u(x, 0) = φ(x), &ut(x, 0) = ψ(x) over the domain 0 < x < `, t >0. Provide an equation that identifies the eigenvalues and sketch agraph depicting this equation. Clearly identify theeigenfunctions

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