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This tutorial provides an introduction and practical approach to solve Ordinary Differential Equation (ODE) by integration and numerically using Euler and Runge-Kutta methods. Many examples are given by either hand computation or numerically using mere MS Excel

In many engineering and scientific situation we face a problem that involve a rate of change. If the rate of change is a continuous function of *one * variable, we have ordinary differential equation (ODE). I hope you have studied at least a first year college calculus to be able to read this tutorial smoothly.

The topics of this tutorial are as follow.

What is Ordinary differential Equation (ODE)?

Numerical Solution to Solve ODE

Euler Method (1st Order Runge Kutta method)

2nd Order Runge Kutta method (RK2)

See also:

Numerical Excel tutorial, Dynamical System tutorial, Kardi Teknomo's Tutorial

**Preferable reference for this tutorial is**

Teknomo, Kardi (2015) Solving Ordinary Differential Equation (ODE). http:\\people.revoledu.com\kardi\tutorial\ODE\