<1> A solution to the problem of propagation of a radio wave pulse in isotropic and gyrotropic cold collisional plasmas has been found. The solution is not based on calculation of the Fourier integral and provides an analytical description of the spatial-temporal evolution of characteristics of radio wave pulses with an initial envelope of a rather general form, including pulses with a linear frequency modulation. Expressions for the velocity of propagation of radio wave pulses in isotropic and gyrotropic plasmas have been obtained in the explicit form.