A First Course in Differential EquationsA First Course in Differential Equations with Modeling Applications, 9th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, definitions, and group projects. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundaryvalue problems and partial differential equations. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. 
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Text is extremely compact, great if you already have a general knowledge of what your learning.. except this is the introductory text. Would've been nice to have a few worked out problems in context in the initial chapter.
The best quality of this book is the way it progresses from section to section; each section connects to the next in a very intuitively satisfying way. The down side of the book is that some of the concepts and example problems really are more difficult to follow than you would expect from a book titled "A First Course in Differential Equations." Overall I think that this book presents topics in such a way that you actually want to read over the material in the next section before putting the book down, which is really impressive for a mathematics text. I began to read this book (an earlier edition) before even taking a differential equations course and fell in love with the mathematics, but I am a bit of a nerd.
Contents
INTRODUCTION TO DIFFERENTIAL
EQUATIONS  1 
FIRSTORDER DIFFERENTIAL
EQUATIONS  34 
MODELING WITH FIRSTORDER
DIFFERENTIAL EQUATIONS  82 
HIGHERORDER DIFFERENTIAL
EQUATIONS  117 
MODELING WITH HIGHERORDER
DIFFERENTIAL EQUATIONS  181 
SERIES SOLUTIONS OF LINEAR
EQUATIONS  219 
THE LAPLACE TRANSFORM  255 
SYSTEMS OF LINEAR FIRSTORDER
DIFFERENTIAL EQUATIONS  303 
Other editions  View all
A First Course in Differential Equations with Modeling Applications Dennis G. Zill Limited preview  2016 
A First Course in Differential Equations with Modeling Applications Dennis Zill Limited preview  2012 
A First Course in Differential Equations with Modeling Applications Dennis G. Zill Limited preview  2012 