Method of Solving Nonhomogeneous Differential Equation for Dynamic Systems Modeling

Abstract

Solving dynamic processes in electronic and electrical engineering devices analysis problems both normal systems of differential equations of first-order and nonhomogeneous differential equations of nth order are used. Therefore, development of simple, rapid, reliable and effective methods of their decision remains a relevant problem. The article describes a method for solving inhomogeneous differential equations of the nth order which is characterized by a community approach and can be applied for any values of the exponents of the left and right sides. The method does not demand one to take intentionally derivatives of the input action which greatly simplifies the solution of the problem because this is often difficult due to the complex functional dependence of the input influence on the object of the time. The proposed method is characterized by simplicity, clarity and easiness of implementation on a computer.