The differential equations are often used in practice for making different mathematical models of mechanical systems and they are the best help for modelling. The flow, coming around elastic mechanical system, when there are some conditions, awakes the auto-oscillations of it. At my work I onquire the change of auto-oscillations into the electrical signal. If we want to reach it, we must give for mechanical system an extra stimulation by electric network. The purpose of my work - inquire simplification model of this made system; area of existence synchronic processes, when we have relaxed and forced oscillations; to analyse different trajectories of different types this differential equation; to find spectral charakteristics. The analytical and graphical results were forthcoming, let uncover some steady treatments' and their surroundings' attributes of pending system.