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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
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one
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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

This tutorial is copyrighted .

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