000			04770cam a2200433 a 4500
001			3053412
003			OSt
005			20260824151748.0
008			960711s1997 njua 001 0 eng
010			_a 96031777
020			_a0135080118 [newsprint]
040			_aDLC _cDLC _dDLC
082	0	0	_220
100	1		_aRainville, Earl David, _d1907- _eauthor.
245	1	0	_aElementary differential equations / _cEarl D. Rainville, Phillip E. Bedient, Richard E. Bedient.
250			_aEighth edition.
260			_aUpper Saddle River, NJ : _bPearson Education Asia Pte Ltd., _cc2000.
300			_axiii, 530 pages : _billustrations (black and white) ; _c24 cm.
336			_2rdacontent _atext
337			_2rdamedia _aunmediated
338			_2rdacarrier _avolume
504			_aIncludes appendices reference and index.
505			_aContents: 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.
520			_a"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
521			_aAdult
541			_xLansa, Rogelio _yCollege of Computer Engineering _zComputer Engineering
541			_xLansa, Rogelio _yCollege of Computer Engineering _zComputer Engineering
546			_aText in English
650		0	_aDifferential equations.
700	1		_aBedient, Phillip Edward, _d1922- _eauthor.
700	1		_aBedient, Richard E., _eauthor.
906			_a7 _bcbc _corignew _d1 _eocip _f19 _gy-gencatlg
942			_2ddc _cBK
998			_cMelen[new] _d01/12/2016
998			_cLeslie [edited] _d06/02/2026
998			_cLeslie [added] _d06/26/2026
999			_c4690 _d4690