ABSTRACT
The independent discovery of the calculus by I. Newton and G. Leibniz was immediately followed by its intensive application in mathematics, physics, and engineering. Since the late seventeenth century, differential equations have been of fundamental importance in the study, development, and application of mathematical analysis. Differential equations and their solutions play one of the central roles in the modelling of real-life phenomena. One of the most intriguing things about differential equations is that for an arbitrary function, there is no general method for finding an exact formula for the solution. In applied mathematics, a model is a set of equations describing the relationships between numerical values of interest in a system. Mathematical modelling is the process of developing a model pertaining to physics or other sciences. The most common applications of differential equations occur in the theory of electric circuits because of its importance and the pervasiveness of these equations in network theory.
