Ordinary differential equations, guaranteed and verified 100% Pass

Problems and Solutions
for
Ordinary Diffferential Equations

by
Willi-Hans Steeb
International School for Scientific Computing
at
University of Johannesburg, South Africa

and

by
Yorick Hardy
Department of Mathematical Sciences
at
University of South Africa, South Africa


updated: February 8, 2017

,Preface

The purpose of this book is to supply a collection of problems for ordinary
differential equations.

Prescribed books for problems.

1) Continous Symmetries, Lie Algebras, Differential Equations and Com-
puter Algebra, second edition

by Willi-Hans Steeb
World Scientific Publishing, Singapore 2007
ISBN 981-256-916-2
http://www.worldscibooks.com/physics/6515.html

2) Problems and Solutions in Theoretical and Mathematical Physics, third
edition, Volume I: Introductory Level

by Willi-Hans Steeb
World Scientific, Singapore, 2009
ISBN-13 978-981-4282-14-7
http://www.worldscibooks.com/physics/7416.html

3) Problems and Solutions in Theoretical and Mathematical Physics, third
edition, Volume II: Advanced Level

by Willi-Hans Steeb
World Scientific, Singapore, 2009
ISBN-13 978-981-4282-16-1
http://www.worldscibooks.com/physics/7416.html




v

,The International School for Scientific Computing (ISSC) provides certifi-
cate courses for this subject. Please contact the author if you want to do
this course or other courses of the ISSC.

e-mail addresses of the author:



Home page of the author:

http://issc.uj.ac.za




vi

, Contents

Preface v

1 First Order Differential Equations 1

2 Second Order Differential Equations 22

3 First Order Autonomous Systems in the Plane 48

4 Higher Order Differential Equations 67

5 Elliptic Functions and Differential Equations 114

6 Nonautonomous Systems 123

7 Hamilton Systems 126

Bibliography 163

Index 164




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