It is well-known that the theoretical basis of macroscopic electrodynamics is Maxwell equations,include which Coulomb law, Biot-Savant law, Faraday law of electromagnetic induction and the hypothesis of induced electric field and displacement current. When the distribution of electric charge and electric current varies with time, if given Coulomb law, Biot-Savant law, Faraday law of electromagnetic,and the hypothesis of induced electric field, through the vector analysis, Maxwell Equations are given without the hypothesis of displacement current.