Question: Let a > 0. Applying the Fourier transform in the x variable, show the solution u(t, x) to the following first-oder partial differential equation:

Let a > 0. Applying the Fourier transform in the x variable,

Let a > 0. Applying the Fourier transform in the x variable, show the solution u(t, x) to the following first-oder partial differential equation: is du du at +a = 0 for (t, x) = (0, 0) x R x u(0, x) = uo(x) for x R. u(t, x) = uo(x-at) for (t, x) = [0, 0) x R.

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