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 Gerald Teschl - Universitaet Wien
This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem.
by Stephen Wiggins - University of Bristol
This book consists of ten weeks of material given as a course on ordinary differential equations for second year mathematics majors. Rather than seeking to find specific solutions, we seek to understand how all solutions are related in phase space.
by Craig A. Tracy - University of California
From the table of contents: Pendulum and MatLab; First Order Equations; Second Order Linear Equations; Difference Equations; Matrix Differential Equations; Weighted String; Quantum Harmonic Oscillator; Laplace Transform, etc.
by Dmitry Panchenko - University of Toronto
Contents: First order differential equations; Existence and uniqueness of solutions for first order differential equations; Systems of first order equations and higher order linear equations; Solving higher order linear differential equations; etc.