Exercises of Ordinary Differential Equations

Table of Contents

Table of Contents

Exercises of Ordinary Differential Equations

INTRODUCTION

THEORETICAL OUTLINE

EXERCISES

Exercises of Ordinary Differential Equations

Exercises of Ordinary Differential Equations

SIMONE MALACRIDA

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

solving differential equations of various orders

systems of differential equations

Cauchy and Neumann initial value problems.

Initial theoretical hints are also presented to make the conduct 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 – THEORETICAL OUTLINE

Introduction and definitions

Resolution methods

Solutions

Remarkable differential equations

Autonomous systems

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II – EXERCISES

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

Exercise 14

Exercise 15

Exercise 16

Exercise 17

Exercise 18

Exercise 19

Exercise 20

Exercise 21

Exercise 22

Exercise 23

Exercise 24

Exercise 25

Exercise 26

Exercise 27

Exercise 28

Exercise 29

Exercise 30

Exercise 31

Exercise 32

Exercise 33

Exercise 34

Exercise 35

Exercise 36

Exercise 37

INTRODUCTION

INTRODUCTION

In this workbook, some examples of calculations relating to ordinary differential equations are carried out.

Furthermore, the main theorems used in differential analysis of equations are presented.

Ordinary differential equations represent a fundamental point in mathematical analysis as, through their resolution, it