Partial Differential Equations

Contents

Acknowledgments

Preface

Authors

Chapter 1 Introduction of Partial Differential Equations

1.1 Partial Differential Equations

1.2 Formation of Partial Differential Equations

1.3 Solution of Partial Differential Equations

1.3.1 Direct Integration Method to Solve Partial Differential Equations

Exercises

Answers

Chapter 2 First-Order Partial Differential Equations

2.1 Linear First-Order Partial Differential Equations

2.1.1 Lagrange’s Linear Equation of the First Order

2.2 Non-Linear First-Order Partial Differential Equations

2.2.1 Charpit Method

2.2.2 Special Types of First-Order Partial Differential Equations

Exercises

Answers

Chapter 3 Second- and Higher-Order Linear Partial Differential Equations

3.1 Homogeneous Linear Partial Differential ...