Fundamentals of Differential Equations is designed to serve the needs of a one-semester course in basic theory as well as applications of differential equations. We have striven to create a flexible text that affords the instructor substantial latitude in designing a syllabus (sample syllabi are provided in this preface), in course emphasis (theory, applications and techniques, numerical methods). And in using commercially available computer software and/or the software utility programs specifically designed for this text.
Chapter 1 Introduction
Chapter 2 First Order Differential Equations
Chapter 3 Mathematical Models And Numerical Methods Involving First Order Equations
Chapter 4 Linear Second Order Equations
Chapter 5 Introduction To Systems And Phase Plane Analysis
Chapter 6 Theory Of Higher-Order Linear Differential Equations
Chapter 7 Laplace Transforms
Chapter 8 Series Solutions Of Differential Equations
Chapter 9 Matrix Methods For Linear Systems
Chapter 10 Partial Differential Equations