In mathematics, a differential equation is an equation that relates one or more functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common, therefore differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.
Differential equations are the equations in mathematics which includes plenty of fancy math type symbols, it basically states that how a rate of change in one variable is related to the other variable. It plays an important role in biology, physics, economics, engineering etc. Free Differential equations arise in several areas of science and technology, specifically whenever a settled relation involving some endlessly variable quantities (modeled by functions) and their rates of modification in house and/or time (expressed as derivatives) is understood or postulated. A journal is a periodical publication intended to further progress of science, usually by reporting new research. Most journals are highly specialized, although some of the oldest journals publish articles, reviews, editorials, short communications, letters, and scientific papers across a wide range of scientific fields.