1. The problem statement, all variables and given/known data I'm working on using the wave equation to prove that EM waves are light. 2. Relevant equations Here's what I'm working with: E = Em sin(kx-wt) B = Bm sin(kx-wt) ∂E/∂x = -∂B/∂t -∂B/∂x = μ0ε0 ∂E/∂t and the wave equation: ∂2y/∂x2 = 1/v^2(∂2y/∂t2) 3. The attempt at a solution I've differentiated the two equations with respect to x and t (after substituting in the equations for E and B) to get something resembling the wave equation, where y=E and y=B. ∂2E/∂x2 = 1/v^2(∂2E/∂t2) --> (w^2)Bm sin(kx-wt) = (1/v^2)(k^2)Bm sin(kx-wt) (1/μ0ε0) which simplifies to: w^2 = (k^2)/(v^2)(1/μ0ε0) Now I'm stuck, because I can't figure out a way to prove this last relation.