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Mathematics, 20.02.2020 23:29 DiegoMath

Let co be constant. Verify that U = F(x — cot) and U = G(x + cot) are solutions of Utt = co^2Uxx for any twice-differentiable functions F and G. If F(x) = 1/(1 + x2), sketch time profiles of the wave U(x, t) =(F(x-t)+F(x+t)).

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