Combining Maxwell's equations gives the wave equation for the y component of the electric field: 2Ey = 2Ey x2 0 0 t2 To show that : Ey(x, t) = E0 sin(kx t + ) is a solution of this equation provided that k2 = 00 2 where k = 2, = 2f. Since the speed of a wave is v = f, find the numerical speed of the wave.