Existence and Uniqueness Theorem of Ordinary Differential Equations with Initial Value Problem

Abstract

Differential equations are necessary for mathematical explanation of Natural surroundings. In natural surrounding like physics,chemistry, biology, economics, engineering, etc., it can be found the most usual expression in the language of differential equations. When studying the existence and uniqueness theorem, the solution of ordinary differential equation is very much important due to the absence of general formula for solving nonlinear ordinary differential equations.