Question: Consider the Burgers equation with the unknown u = u(x,t): Rx [0, ) R Here, 0 in Rx (0,), u(x, 0) = g(x) on

Consider the Burgers equation with the unknown u = u(x,t): Rx [0, ) R Here, 0 in Rx (0,), u(x, 0) = g(x) on R. 0 for x < 0, 9(x) == for 0x1, for x > 1. Use the method of characteristics to solve the equation and find u.

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