Theory and Applications of Ordinary Differential Equations
With an Introduction to Partial Differential Equations

Donald Trim, Ph.D.
The University of Manitoba   1032 Pages  2022 copyright

The book is a well-balanced blend of theory, techniques, and applications.

The author has written the text so that instructors can choose to emphasize whichever of these three aspects of differential equations is appropriate for the course.  

The author’s writing style will appeal to students. It replaces the stylized language akin to technical papers and more advanced texts with smoothly flowing discussions that students will find easy to follow. The author seems to know when and what questions students will ask, and provides the answer at the appropriate time.

The text has plenty of exercises ranging from the routine (to test understanding of basic subject matter) to challenging (for the enterprising student). Exercises avoid the long and involved applications that few, if any, students are likely to investigate.

The complete solutions manual has been written and prepared by the author so students can be assured that all exercises can be solved by techniques discussed in the text.