Introductory Differential Equations

Introductory Differential Equations, Fifth Edition provides accessible explanations and new, robust sample problems. This valuable resource is appropriate for a first semester course in introductory ordinary differential equations (including Laplace transforms), but is also ideal for a second course in Fourier series and boundary value problems, and for students with no background on the subject. The book provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies.

• Gives students a complete foundation on the subject, providing a strong basis for learning how to read technical material in more advanced texts
• Includes new, comprehensive exercise sets throughout, ranging from straightforward to challenging
• Offers applications and extended projects relevant to the real-world through the use of examples in a broad range of contexts

Undergraduate students from a variety of majors, taking courses typically titled (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, Fourier Series and Boundary Value Problems

1. Introduction to Differential Equations
2. First-Order Equations
3. Applications of First-Order Differential Equations
4. Higher Order Equations
5. Applications of Higher Order Differential Equations
6. Systems of Differential Equations
7. Applications of Systems of Ordinary Differential Equations
8. Introduction to the Laplace Transform