continuity equation evaluated at the retarded time leads to a first-order equation in which we identify the retarded scalar and vector potentials. We then apply the D’Alembertian operator to the retarded potentials, obtaining the wave equations they satisfy. In the final step, we use these wave equations to get not only the inhomogeneous Maxwell’s equations but also the homogeneous ones. Our approach is axiomatic in the sense that it starts with the continuity equation as the basic axiom but it is also heuristic in the sense that this equation is heuristically handled. We also show that this axiomatic-heuristic procedure to obtain the full set of Maxwell’s equations can be covariantly developed in the Minkowski spacetime. To put in context our axiomatic-heuristic procedure, it is pertinent to mention that in a series of papers [@6; @7; @8] which originated some comments [@9; @10] and their respective replies [@11; @12], one of us has developed the idea of getting Maxwell’s equations by starting with the continuity equation evaluated at the retarded time but without appealing to potentials as we now do in the present paper. In the cited papers it has been argued that charge conservation and causality, respectively represented by the 