A Friendly Introduction to Differential Equations
by Mohammed K A Kaabar
Number of pages: 164
In this book, there are five chapters: The Laplace Transform, Systems of Homogeneous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, and Applications of Differential Equations. In addition, there are exercises at the end of each chapter above to let students practice additional sets of problems other than examples.
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by Marcel B. Finan - Arkansas Tech University
Contents: Basic Terminology; Qualitative Analysis: Direction Field of y'=f(t,y); Existence and Uniqueness of Solutions to First Order Linear IVP; Solving First Order Linear Homogeneous DE; Solving First Order Linear Non Homogeneous DE; etc.
by Wong Yan Loi - National University of Singapore
From the table of contents: First Order Differential Equations; Linear Differential Equations; Second Order Linear Differential Equations; Linear Differential Systems; Power Series Solutions; Fundamental Theory of Ordinary Differential Equations.
by Jeffrey R. Chasnov - BookBoon
This book, together with the linked YouTube videos, reviews a first course on differential equations. The purpose is to help students prepare for their exams. Theory is summarized, and the solutions of questions are demonstrated in YouTube videos.
by Michael F. Singer - arXiv
The author's goal was to give the audience an introduction to the algebraic, analytic and algorithmic aspects of the Galois theory of linear differential equations by focusing on some of the main ideas and philosophies and on examples.