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Solve the following problem. Uxx(x,t) = u(x, t) + sin(3x), 0 < x 0, u(x, 0) = 0, u(x, 0) = x, 0 x

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Solve the following problem. Uxx(x,t) = u(x, t) + sin(3x), 0 < x 0, u(x, 0) = 0, u(x, 0) = x, 0 x . u(0,t) = 0, u(,t) = 0, Hint: Find a transformation of the form u(x, t) v(x,t) such that v(x,t) satisfies the standard wave equation.

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