Introduction to Differential Equations

ISBN-10: 147041127X
ISBN-13: 9781470411275
Series: Introduction to Differential Equations
Language: English
Published: 2011
Author: Michael E. Taylor

Description

The mathematical formulations of problems in physics, economics, biology, and other sciences are usually embodied in differential equations. The analysis of the resulting equations then provides new insight into the original problems. This book describes the tools for performing that analysis. The first chapter treats single differential equations, emphasizing linear and nonlinear first order equations, linear second order equations, and a class of nonlinear second order equations arising from Newton's laws. The first order linear theory starts with a self-contained presentation of the exponen.