Introductory Differential Equations

Introductory Differential Equations (6th Edition) is an academic textbook by Martha L. Abell and James P. Braselton, published by Academic Press, that presents foundational mathematical methods for ordinary differential equations. Spanning 528 pages, the text is structured specifically for students taking a first semester course in introductory ordinary differential equations who have no prior background on the subject.

The book organizes its primary coverage around first order ordinary differential equations, higher order linear equations, and systems of differential equations. Each mathematical topic is accompanied by real-world applications across various contexts to illustrate how these equations model physical phenomena. Additionally, the volume includes dedicated introductory material covering Laplace transforms.

Honored with the 2025 Textbook and Academic Authors Association (TAA) McGuffey Longevity Award, this 6th Edition maintains a dedicated focus on core mathematical techniques. The volume offers practical instructional support designed to build differential equations skills in first-semester academic settings.