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Elementary Differential Equations and Boundary Value Problems, Student Solutions Manual 11th edition [Mīkstie vāki]

, (University of South Carolina - Columbia), Prepared for publication by , Prepared for publication by , Prepared for publication by (Rochester Institute of Technology), (Rensselaer Polytechnic Institute)
  • Formāts: Paperback / softback, 320 pages, height x width x depth: 272x212x18 mm, weight: 590 g
  • Izdošanas datums: 24-Jul-2017
  • Izdevniecība: John Wiley & Sons Inc
  • ISBN-10: 1119169755
  • ISBN-13: 9781119169758
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  • Formāts: Paperback / softback, 320 pages, height x width x depth: 272x212x18 mm, weight: 590 g
  • Izdošanas datums: 24-Jul-2017
  • Izdevniecība: John Wiley & Sons Inc
  • ISBN-10: 1119169755
  • ISBN-13: 9781119169758
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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.

Chapter 1 Introduction
1(12)
1.1
1(4)
1.2
5(5)
1.3
10(3)
Chapter 2 First-Order Differential Equations
13(36)
2.1
13(4)
2.2
17(5)
2.3
22(4)
2.4
26(2)
2.5
28(7)
2.6
35(2)
2.7
37(2)
2.8
39(3)
2.9
42(7)
Chapter 3 Second-Order Linear Equations
49(26)
3.1
49(2)
3.2
51(2)
3.3
53(4)
3.4
57(2)
3.5
59(4)
3.6
63(3)
3.7
66(3)
3.8
69(6)
Chapter 4 Higher Order Linear Equations
75(12)
4.1
75(2)
4.2
77(4)
4.3
81(2)
4.4
83(4)
Chapter 5 Series Solutions of Second Order Linear Equations
87(28)
5.1
87(2)
5.2
89(5)
5.3
94(4)
5.4
98(3)
5.5
101(4)
5.6
105(6)
5.7
111(4)
Chapter 6 The Laplace Transform
115(30)
6.1
115(4)
6.2
119(5)
6.3
124(2)
6.4
126(9)
6.5
135(6)
6.6
141(4)
Chapter 7 Systems of First Order Linear Equations
145(44)
7.1
145(3)
7.2
148(3)
7.3
151(3)
7.4
154(5)
7.5
159(6)
7.6
165(7)
7.7
172(2)
7.8
174(8)
7.9
182(7)
Chapter 8 Numerical Methods
189(14)
8.1
189(3)
8.2
192(4)
8.3
196(1)
8.4
197(2)
8.5
199(1)
8.6
200(3)
Chapter 9 Nonlinear Differential Equations and Stability
203(44)
9.1
203(5)
9.2
208(3)
9.3
211(8)
9.4
219(9)
9.5
228(5)
9.6
233(3)
9.7
236(5)
9.8
241(6)
Chapter 10 Partial Differential Equations and Fourier Series
247(44)
10.1
247(1)
10.2
248(5)
10.3
253(5)
10.4
258(6)
10.5
264(4)
10.6
268(5)
10.7
273(7)
10.8
280(11)
Chapter 11 Boundary Value Problems and Sturm-Liouville Theory
291
11.1
291(4)
11.2
295(3)
11.3
298(5)
11.4
303(3)
11.5
306(2)
11.6
308
William E. Boyce received his B.A. degree in Mathematics from Rhodes College, and his M.S. and Ph.D. degrees in Mathematics from Carnegie-Mellon University. He is a member of the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics.