ABSTRACT
In many physical situations, equations arise that involve differential coefficients such as dydx, d2ydx2, dydt etc. These equations are called differential equations since they contain differential coefficients. Differential equations arise naturally in the modeling of real phenomena in engineering. The formulation of a mathematical equation to represent a physical situation is referred to as mathematical modeling. An equation in which at least one term is a differential coefficient is called a differential equation. When dealing with first-order differential equations, the task is to see what type of method is most appropriate to deal with the problem. Using a probabilistic model of system behavior for a continuous time Markov process, the resulting model can be described by a set of differential equations known as the Kolmogorov forward equations.
