Examples of differential equations, with rules for their solution
by George A. Osborne
Publisher: Boston, Ginn & Company 1899
Number of pages: 76
This work has been prepared to meet a want felt by the author in a practical course on the subject, arranged for advanced students in Physics. It is intended to be used in connection with lectures on the theory of Differential Equations and the derivation of the methods of solution. Many of the examples have been collected from standard treatises, but a considerable number have been prepared by the author to illustrate special difficulties, or to provide exercises corresponding more nearly with the abilities of average students.
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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 Leif Mejlbro - BookBoon
Some examples of simple differential equations. The book covers separation of variables, linear differential equation of first order, the existence and uniqueness theorem, the Bernoulli differential equation, and the setup of model equations.
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 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.