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) as well as a second course in Fourier series and boundary value problems, for students with no background in 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 textsIncludes new, comprehensive exercise sets throughout, ranging from straightforward to challengingOffers applications and extended projects relevant to the real world through the use of examples in a broad range of contexts

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