In the mathematical derivation of equations for physics, and involving wave propagation in particular, the propagation speed at the start of the derivation is often set to one (c = 1).
I am working with long derivations where the resulting final equations assume c = 1 and would like to convert them to have propagation speeds that are represented by a variable, say v, and do this without going through the complete derivation from the start to the finish. It is not at all obvious where the c's would reappear if they were not set to 1.
My question is: Are there any methods or 'tricks' I can use for this?
Maybe dimensional analysis would help. Note that after setting c = 1 the equations have dimensional analysis problems--there is a missing [L]/[T].