Examples of Differential Equations of Second...

Description

Here follows a book with the continuation of a collection of examples from Ventus: Calculus 4c-1, Systems of differential systems.

Preface

Here follows the continuation of a collection of examples from Calculus 4c-1, Systems of differential systems. The reader is also referred to Calculus 4b and to Complex Functions.

We focus in particular on the linear differential equations of second order of variable coefficients, although the amount of examples is far from exhausting.

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

Content

1. Linear dierential equations of second order with variable coeffi cients
2. Euler’s differential equation
3. The exponential matrix
4. Cayley-Hamilton’s theorem