(i) x = y(x – vt), 2. Lorentz transformation of wave equation Show by direct substitution of the Lorentz transformations (Griffiths eq. 12.18, shown here) into the 1-D wave equation that the Lorentz transformation preserves the form of the wave equation. Namely, ay 1 ay ay 1 Oy show that if then 2 2372 (ii) y = y, (iii) = z. (iv) i = x (1 – 3x)