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Consider the following one-dimensional partial differentiation wave equation. Produce the solution u(x, t) of this equation....

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Basic Math

Consider the following one-dimensional partial differentiationwave equation. Produce the solution u(x, t) of this equation. 4Uxx= Utt 0 < x 0 Boundary Conditions: u (0, t) = u (2Ï€, t) = 0,Initial Conditions a shown below: consider g(x)= 0 in bothcases.

(a) u (x, 0) = f(x) = 3sin 2x +3 sin7x , 0 < x <2Ï€

(b) u (x, 0) = x +2, 0 < x <2Ï€

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