Rainville, Earl David 1907- creator author. Bedient, Phillip Edward 1922- author. Bedient, Richard E. author. text nju Upper Saddle River, NJ Pearson Education Asia Pte Ltd. c2000 1997 Eighth edition. monographic eng

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xiii, 530 pages : illustrations (black and white) ; 24 cm. "In publishing a new edition of Elementary Differential Equations, we have two main goals. First, we hope to maintain the direct style that users of earlier editions have come to expect. Secondly, in response to changes in the nature of many differential equations courses, we have added some new geometric material, reorganized some sections, and added a computer component to the text. The new geometric material appears mainly in Sections 1.4 and 11.8. In the former we introduce students to the idea of a family of curves as solutions to a differential equation, and in the latter, the concept of the phase plane of a system of equations is presented. We have moved the treatment of systems of equations to an earlier place in the text. Of all areas of mathematics covered in a typical undergraduate curriculum, the field of differential equations is arguably the most affected by the computer. Numerous packages have been produced which are either designed specifically for differential equations, or have subpackages designed for that material. We have made the rather arbitrary decision to present our computer examples using the Maple package. We could have equally well chosen any of the other Computer Algebra Systems such as Mathematica, Matlab, or Derive. Further, there are a number of numerical graphing packages that are more efficient for producing geometric results. Among the more commonly available are MacMath and Phaser. Each computer supplement contains an example from the corresponding chap-ter, worked out with the aid of Maple. Subsequently a set of computer exercises is presented which can be solved using whichever package is available to the student. It is our hope that these brief introductions will encourage users to look beyond the text for further computer explorations. The authors wish to thank the following reviewers of the Eighth Edition manuscript for their comments: Ebrahim Salchi, University of Nevada-Las Ve-gas; J. P. Mokanski, University of Guelph; Thomas G. Berry, University of Man-itoba; Giles Wilson Maloof, Boise State University; John H. Ellison, Grove City College; James L. Handley, Montana Tech; Baigiao Deng, Columbus College, and Jay Delkin, University of Western Ontario." —Preface Contents: 1 Definitions: families of curves -- 2 Equations of order one -- 3 Numerical methods -- 4 Elementary applications -- 5 Additional topics on equations of order one -- 6 Linear differential equations -- 7 Linear equations with constant coefficients -- 8 Nonhomogeneous equations: undetermined coefficients -- 9 Variation of parameters -- 10 Applications -- 11 Linear systems of equations -- 12 Nonhomogeneous systems of equations -- 13 The existence and uniqueness of solutions -- 14 The laplace transform -- 15 Inverse transforms -- 16 Nonlinear equations -- 17 Power series solutions -- 18 Solutions near regular singular points -- 19 Equations of hypergeometric type -- 20 Partial differential equations -- 21 Orthogonal sets of functions -- 22 Fourier series -- 23 Boundary value problems -- 24 Additional properties of the laplace transform -- 25 Partial differential equations transform methods. Adult Earl D. Rainville, Phillip E. Bedient, Richard E. Bedient. Includes appendices reference and index. Lansa, Rogelio College of Computer Engineering Computer Engineering Lansa, Rogelio College of Computer Engineering Computer Engineering Text in English Differential equations 0135080118 [newsprint] 96031777 DLC 960711 20260824151748.0 3053412