Examples of Systems of Differential Equations...

In this book we present a collection of examples of general systems of linear differential equations and some applications in Physics and the Technical Sciences.

Here we present a collection of examples of general systems of linear differential equations and some applications in Physics and the Technical Sciences. The reader is also referred to Calculus 4b as well as to Calculus 4c-2.

It should no longer be necessary rigourously to use the ADIC-model, described in Calculus 1c and Calculus 2c, because we now assume that the reader can do this himself.

Even if I have tried to be careful about this text, it is impossible to avoid errors, in particular in the first edition. It is my hope that the reader will show some understanding of my situation.

Leif Mejlbro

Introduction

1. Homogeneous systems of linear dierential equations

2. Inhomogeneous systems of linear dierential equations

3. Examples of applications in Physics

4. Stability

5. Transfer functions