The equations for the nuclear magnetizations which describe the dynamics of nuclear spin-systems with strong Larmor and Rabi inhomogeneous broadenings of the NMR line under conditions of their nonequilibrium are obtained in the framework of the Mims transformation matrix method; these equations have been obtained previously by the statistical tensors method. As an example, the properties of the proton single-pulse echo and its secondary signals in a test material (silicone oil) coated on the surface of high-T-c superconducting-oxide powders and in metallic hydride are presented. (C) 2004 American Institute of Physics.