1. The problem statement, all variables and given/known data I am trying to figure out a way to prove mathematically that Maxwell's Equations predict that the speed of light is the same in all reference frames, and therefore are consistent with special relativity. I am having a hard time finding what equations to use for the derivation. I am not asking for anyone to solve this for me, I just would like someone to point me in the right direction. 2. Relevant equations I have derived the wave equation through the use of Faraday's and Ampere's Laws, but I don't believe this prove that the wave speed is the same in all reference frames. 3. The attempt at a solution I've derived the wave equation, but I don't believe this proves special relativity. I have tried plugging in the equation for the Lorentz force (b/c it has a velocity term, and I wanted to show that regardless of velocity, it was give out the same speed of light) Any help is much appreciated.