Question: where u = u(x, t) is the solution and a > 0 is the constant wave speed. Suppose that this equation is supplied with

where u = u(x, t) is the solution and a > 0 is the constant wave speed. Suppose that this equation is supplied with the following initial condition (2) u (x,0) = k exp-x + k cos(x), () where k and k are constants. (a) Find the general solution to the linear advection equation for the given initial condition.

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