Диференціальні рівняння у моделюванні електричних схем

Abstract

Different equation play a crucial role in modeling the behavior of electronic circuits, providing an accurate description of dynamic processes is networks containing resistors, capacitors, and inductors. This study examines methods for constructing mathematical models based on first- and second-order equations, which enable the analysis of transient responses, frequency characteristics, and the stability of electronic system. The advantages of using differential equations for simulating real circuits are demonstrated, particularly their ability to reproduce physical phenomena with high precision and optimize design processes. Such an approach is fundamental to modern circuit engineering, digital signal processing, and hardware modeling.