# 6. DIFFERENTIAL EQUATIONS

In mathematics, a discriminational or Differential equation is an equation that relates one or further functions and their derivations. (1) In operations, the functions generally represent physical amounts, the derivations represent their rates of change, and the discriminational equation defines a relationship between the two. Similar relations are common; thus, discriminational equations play a prominent part in numerous disciplines including engineering, drugs, economics, and biology.

Substantially the study of discriminational equations consists of the study of their results (the set of functions that satisfy each equation), and of the parcels of their results. Only the simplest discriminational equations are soluble by unequivocal formulas; still, numerous parcels of results of a given discriminational equation may be determined without calculating them exactly.

Frequently when a unrestricted- form expression for the results isn’t available, results may be approached numerically using computers. The proposition of dynamical systems puts emphasis on qualitative analysis of systems described by discriminational equations, while numerous numerical styles have been developed to determine results with a given degree of delicacy.