Show two possible candidates E(x,t) as solutions of the waveequation for an EM w

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Show two possible candidates E(x,t) as solutions of the waveequation for an EM wave's electric field. Let A and becostants. a) Show that E(x,t) = Ae-(x-vt)^2 satisfies the wave equation. b) Show that E(x,t) = Ae-(x^2-vt) does not satisfy the waveequation. Show two possible candidates E(x,t) as solutions of the waveequation for an EM wave's electric field. Let A and becostants. a) Show that E(x,t) = Ae-(x-vt)^2 satisfies the wave equation. b) Show that E(x,t) = Ae-(x^2-vt) does not satisfy the waveequation.

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