Exercises of Differential Linear Systems E-Book

Simone Malacrida

• Herausgeber: BookRix
• Kategorie: Wissenschaft und neue Technologien
• Sprache: Englisch

Veröffentlichungsjahr: 2023

Beschreibung

In this book exercises are carried out regarding the following mathematical topics: 2x2 and 3x3 linear differential systems Cauchy problems related to linear systems with constant coefficients search for and determination of eigenvalues related to linear systems Initial theoretical hints concerning matrix theory are also presented to make the performance of the exercises understandable.

Leseprobe

Simone Malacrida

Exercises of Differential Linear Systems

BookRix GmbH & Co. KG81371 Munich

Table of Contents

Table of Contents

“Exercises of Differential Linear Systems”

INTRODUCTION

OUTLINE OF MATRIX THEORY

2x2 LINEAR DIFFERENTIAL SYSTEMS

3x3 LINEAR DIFFERENTIAL SYSTEMS

“Exercises of Differential Linear Systems”

“Exercises of Differential Linear Systems”

SIMONE MALACRIDA

In this book exercises are carried out regarding the following mathematical topics:

2x2 and 3x3 linear differential systems

Cauchy problems related to linear systems with constant coefficients

search for and determination of eigenvalues related to linear systems

Initial theoretical hints concerning matrix theory are also presented to make the performance of the exercises understandable.

Simone Malacrida (1977)

Engineer and writer, has worked on research, finance, energy policy and industrial plants.

ANALYTICAL INDEX

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INTRODUCTION

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I – OUTLINE OF MATRIX THEORY

Definitions

Operations and properties

Matrix calculation

Applications

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II – 2x2 LINEAR DIFFERENTIAL SYSTEMS

Exercise 1

Exercise 2

Exercise 3

Exercise4

Exercise 5

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III - 3x3 LINEAR DIFFERENTIAL SYSTEMS

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

INTRODUCTION

INTRODUCTION

In this workbook some examples of calculations related to linear differential systems and related Cauchy problems are carried out.

Furthermore, an introduction to matrix theory is presented, necessary to understand the method of solving linear differential systems.

These systems play a primary role within the broader casuistry of differential systems. In fact, numerical analysis tends to bring every type of calculation back to a linear system, by adopting appropriate linearization procedures.

What is presented in this workbook is generally covered in advanced mathematical analysis courses (analysis 2) and therefore specific knowledge of integral calculus and of what is inherent in basic mathematical analysis courses is required.

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