This is the Student Solutions Manual to accompany Elementary Differential Equations, 11th Edition. Elementary Differential Equations, 11th Edition is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 11th edition includes new problems, updated figures and examples to help motivate students. The program is primarily intended for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two?] or three?] semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.
This Student Solutions Manual provides worked solutions to the even-numbered problems, along with a free CD-ROM that contains selected problems from the book and solves them using Maple. The CD contains the Maple kernal.
The subject of differential equations originated in the study of calculus by Isaac Newton (1643--1727) and Gottfried Wilhelm Leibniz (1646--1716) in the seventeenth century. Newton grew up in the English countryside, was educated at ...
The 10th edition of Elementary Differential Equations and Boundary Value Problems, like its predecessors, is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite ...
This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Elementary Differential...
Elementary Differential Equations and Boundary Value Problems
positive direction air resistance gravity kv mg FIGURE 1.3.6 Falling body of mass m (a) suspension bridge cable (b) telephone wires FIGURE 1.3.7 Cables suspended between vertical supports cos wire T 2 θ θ sin T 2 T 2 P 2 T 1 W P 1 θ y x ...
This book was written with the student's understanding firmly in mind. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.
The book also presents elementary dynamical systems in a unique and flexible way that is suitable for all courses, regardless of length.
New to this edition: New Mathematical Preliminaries chapter to define and develop the required background Unified presentation of the algebra of vector spaces and angular momentum New chapter on Green's functions Extended discussion of ...
This little book is especially concerned with those portions of ”advanced calculus” in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.