Paper Title
Numerical Solution of Ordinary Differential Equations and Applications

In this paper, we introduce various numerical methods for the solution of ordinary differential equations and applications. We consider the general first order differential equation / = ( , ) with the initial condition y(x 0 ) =y 0. We can solve the ordinary differential equations by using the following methods. i) Taylor series Method, ii) Picard Method, iii) Euler Method, iv) Modified Euler Method & v) Runge-Kutta Method Keywords— Ordinary Differential Equation, Analytical Method, Closed-Form Solution, Initial Condition, Step-By-Step Methods, Marching Methods, Independent Variable, Dependent Variable, Interval, Range, Finite Differences, Starting Values, Initial Value Problems, Boundary Value Problems.