Тези №2. Часова математична форма методичної похибки в розв’язку диференціального рівняння стаціонарного електричного кола за простих полюсів дробово-раціональної функції в її зображенні

Abstract

The article presents a mathematical identification of physical processes observed during the evolution of a station- ary electric circuit under zero and non-zero initial conditions in the fundamental Cauchy problem. Based on the image of the methodological error that appears in the solution of the differential equation in the case of artificially zeroing the initial conditions that are non-zero according to the condition of the problem, obtained by the Laplace integral transform of the fractional-rational function, in the presence of only simple poles, the original function itself is defined in a time mathematical form. The obtained results provide a mathematical basis for adjusting known methods of analyzing transient processes both in stationary electrical circuits and in dynamic systems of a different physical nature.