differential

In mathematics, a differential equation is an equation that relates one or more unknown 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.
The study of differential equations consists mainly of the study of their solutions (the set of functions that satisfy each equation), and of the properties of their solutions. Only the simplest differential equations are soluble by explicit formulas; however, many properties of solutions of a given differential equation may be determined without computing them exactly.
Often when a closed-form expression for the solutions is not available, solutions may be approximated numerically using computers. The theory of dynamical systems puts emphasis on qualitative analysis of systems described by differential equations, while many numerical methods have been developed to determine solutions with a given degree of accuracy.

View More On Wikipedia.org
  • 1

    CJ

    Admin From Central FL
    • Posts
      22,360
    • Documents / Resources
      193
    • Media
      766
    • Albums
      34
    • Solutions
      36
    • Thanks
      717
    • Points
      113
  • 1

    Marsh Dweller

    Jeeper From St Augustine, Fl
    • Posts
      22
    • Thanks
      0
    • Points
      1
  • Back
    Top Bottom