How to use the Spreadsheet ?

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You can download the spreadsheet companion of this tutorial here.

The spreadsheets contain a very simple macro name f(x, y) that you can change for your own particular ODE. To change the function inside:

1. You use MS excel menu Tools – Macro- Visual Basic Editor or Press Alt-F11 together.
2. Go to Module 1 and change the function inside. For example you can type to represent ODE or or to represent ODE (notice that in the last example, the independent variable does not exist in the right hand side of the ODE).
3. Save the change and go back to the Spreadsheet.
4. Change the initial value and the value of to see the effect on the graph

References:

Riley, K. F., Hobson, M. P., and Bence, S. J. (2003) Mathematical Methods for Physics and Engineering, 2 ed., Cambridge University Press

Gernshenfeld, N. (1999) The Nature of Mathematical Modeling, Cambridge University Press

Chapra, S. C. and Canale, R. P. (1998) Numerical Methods for Engineers with Programming and Software Applications, 3 rd Ed., McGrawHill.

Comments for this tutorial

See also: Numerical Excel tutorial, Dynamical System tutorial, Kardi Teknomo's Tutorial

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This tutorial is copyrighted.

Preferable reference for this tutorial is

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