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Take the one dimensional wave equation to be:
d^2 f(x,t)/dx^2 = (1/v^2)*d^2 f(x,t)/dt^2 (1)
Where "d ()" is the partial differentiation operator.
Let f(x,t) =a*( x^2 + v^2*t^2) where a is a constant which provides the
correct dimensions for the disturbance of interest.