Question: (3 points) Consider the equation u; = Uz, for x R with u(z,0) = f(z) where f(z) is Schwartz class. Derive an expression for the

(3 points) Consider the equation u; = Uz, for x R with u(z,0) = f(z) where f(z) is Schwartz class. Derive an expression for the Fourier transform 4(k,t) of the solution u(x,t) in terms of &, t, and f(k). (You do not need to find u(x, t) from u(k,t))

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