About solution of the damped oscillations

Abstract

Vibrations, by the physical nature, are diverse. There are mechanical, electromagnetic, electromechanical, chemical, thermodynamic vibration there. Solutions of differential equation of these vibrations were obtained by different mathematical methods. We obtain analytical solutions of Lienard‘s differential equations by the method of partial sampling discretization of nonlinear differential equations. Graphic of solution, which describes the considering process and corresponds to damped oscillations has been plotted.