The suggested text for this course is Zill First Course in Differential Equations with Modeling Applications, 9th edition. However you are not required to buy this book. Any textbook on differential equations written in the last thirty years will cover the same topics (perhaps with different notation, but you should be capable of adjusting for that).

If you use another text, you should be able to find appropriate readings by matching the lecture topic to your text's table of contents or index, with the following hints