The (second order) partial differential equation (PDE) ut = c²u, where c is a real constant is called the (one-dimensional) wave equation, whose solution is u = u(x, t). Here, x is the space variable and t is the time variable. Using the chain rule and by employing the transformation v = x+ct, z = x- ct, reduce the given equation to uz = 0. You may assume that Uze = Plug

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