Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. Available in two versions, these flexible texts offer the instructor many choices in syllabus design, course emphasis (theory, methodology, applications, and numerical methods), and in using commercially available computer software.
Fundamentals of Differential Equations, Eighth Edition is suitable for a one semester sophomore or junior level course. Fundamentals of Differential Equations with Boundary Value Problems, Sixth Edition, contains enough material for a two semester course that covers and builds on boundary value problems. The Boundary Value Problems version consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory).
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