First order ordinary differential equations. Course book.
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CONTENTS
FOREWORD
CHAPTER 1. INTRODUCTION
1.1. Overview of differential equations
1.2. General definitions
1.3. Do it yourself tasks
CHAPTER 2. FIRST ORDER DIFFERENTIAL EQUATIONS
2.1. Basic definitions and theorems
2.2. Equation with separable variables
2.3. First order non-separable equations – solutions by substitutions
2.4. Do it yourself tasks
CHAPTER 3. LINEAR FIRST ORDER DIFFERENTIAL EQUATIONS
3.1. Basic terminology
3.2. Euler-Lagrange method for solving the linear first order differential equation
3.3. Integrating factor for linear first order equations
3.4. Bernoulli differential equation
3.5. Do it yourself tasks
CHAPTER 4. EXACT DIFFERENTIAL EQUATION
4.1. Basic concepts and definitions
4.2. Method of solution to the exact differential equation
4.3. Integrating factor for nonexact equation
4.4. Do it yourself tasks
CHAPTER 5. MODELING USING FIRST ORDER DIFFERENTIAL EQUATIONS
5.1. Population problems
5.2. Cooling problems
5.3. Mixing problems
5.4. Elementary mechanics problems
6. APPENDIX. REVIEW OF INTEGRATION
6.1. Basic definitions and integral rules
6.2. Table of common integrals
6.3. Examples
ANSWERS FOR SELECTED TASKS
BIBLIOGRAPHY
Szczegóły
| ISBN | 9788365976253 |
| Autor | Ciekot Anita,Zamorska Izabela, |
| Oprawa | miękka |
| Rok wydania | 2024 |
| Format | b5 |
| Stron | 82 |
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