
Introduction to Ordinary Differential Equations with Mathematica: Solutions Manual (Paperback)
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Dispatched in 3 business days When will my order arrive?  DescriptionThe purpose of this companion volume to our text is to provide instructors (and eventu ally students) with some additional information to ease the learning process while further documenting the implementations of Mathematica and ODE. In an ideal world this volume would not be necessary, since we have systematically worked to make the text unambiguous and directly useful, by providing in the text worked examples of every technique which is discussed at the theoretical level. However, in our teaching we have found that it is helpful to have further documentation of the various solution techniques introduced in the text. The subject of differential equations is particularly wellsuited to selfstudy, since one can always verify by hand calculation whether or not a given proposed solution is a bona fide solution of the differential equation and initial conditions. Accordingly, we have not reproduced the steps of the verification process in every case, rather content with the illustration of some basic cases of verification in the text. As we state there, students are strongly encouraged to verify that the proposed solution indeed satisfies the requisite equation and supplementary conditions.
 Publisher: SpringerVerlag New York Inc.
 Published: 01 June 1998
 Format: Paperback 545 pages
 See: Full bibliographic data
 Categories: Calculus & Mathematical Analysis  Differential Calculus & Equations  Business Applications  Computer Science
 ISBN 13: 9780387982328 ISBN 10: 0387982329
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Full bibliographic data for Introduction to Ordinary Differential Equations with Mathematica
 Title
 Introduction to Ordinary Differential Equations with Mathematica
 Subtitle
 Solutions Manual
 Authors and contributors
 Physical properties
 Format: Paperback
Number of pages: 545
Width: 170 mm
Height: 244 mm
Thickness: 28 mm
Weight: 933 g  Language
 English
 ISBN
 ISBN 13: 9780387982328
ISBN 10: 0387982329  Classifications
BIC E4L: COM
B&T Book Type: NF
LC subject heading:
B&T Merchandise Category: TXT
LC subject heading:
BIC subject category V2: UF
Nielsen BookScan Product Class 3: S10.4
B&T General Subject: 710
DC22: 004
LC classification: QA
Ingram Subject Code: MA
Abridged Dewey: 515
BISAC V2.8: COM014000
BIC subject category V2: PBKJ
WarengruppenSystematik des deutschen Buchhandels: 16270
BISAC V2.8: MAT034000
LC subject heading:
DC21: 515.35202855369
LC classification: QA75.576.95, QA1939, QA299.6433
Thema V1.0: PBKJ, UF Illustrations note
 2 black & white illustrations, biography
 Publisher
 SpringerVerlag New York Inc.
 Imprint name
 SpringerVerlag New York Inc.
 Publication date
 01 June 1998
 Publication City/Country
 New York, NY
 Table of contents
 Solutions. 1. Basic Concepts. Solutions to Section 1.1. Solutions to Section 1.3. 2. Using Mathematica. Solutions to Section 2.2. Solutions to Section 2.3. 3. FirstOrder Differential Equations. Solutions to Section 3.1. Solutions to Section 3.2. Solutions to Section 3.3. Solutions to Section 3.4. Solutions to Section 3.5. Solutions to Section 3.6. 4. The Package ODE.m. Solutions to Section 4.4. Solutions to Section 4.5. Solutions to Section 4.4. Solutions to Section 4.6. Solutions to Section 4.7. Solutions to Section 4.8. Solutions to Section 4.9. Solutions to Section 4.10. Solutions to Section 4.11. Solutions to Section 4.12. 5. Existence and Uniqueness of Solutions of FirstOrder Differential Equations. Solutions to Section 5.1. Solutions to Section 5.2. Solutions to Section 5.3. Solutions to Section 5.5. Solutions to Section 5.6. 6. Applications of FirstOrder Equations I. Solutions to Section 6.1. Solutions to Section 6.2. Solutions to Section 6.3. Solutions to Section 6.4. Solutions to Section 6.5. Solutions to Section 6.6. 7. Applications of FirstOrder Equations II. Solutions to Section 7.1. Solutions to Section 7.2. Solutions to Section 7.3. Solutions to Section 7.4. Solutions to Section 7.5. 8. SecondOrder Linear Differential Equations. Solutions to Section 8.1. Solutions to Section 8.2. Solutions to Section 8.3. Solutions to Section 8.4. Solutions to Section 8.5. Solutions to Section 8.6. Solutions to Section 8.7. 9. SecondOrder Linear Differential Equations with Constant Coefficients. Solutions to Section 9.1. Solutions to Section 9.2. Solutions to Section 9.3. Solutions to Section 9.4. 10. Using ODE.m to Solve SecondOrder Linear Differential Equations. Solutions to Section 10.1. Solutions to Section 10.2. Solutions to Section 10.3. Solutions to Section 10.4. 11. Applications of Linear SecondOrder Equations. Solutions to Section 11.1. Solutions to Section 11.2. Solutions to Section 11.3. 12. HigherOrder Linear Differential Equations. Solutions to Section 12.1. Solutions to Section 12.2. Solutions to Section 12.3. Solutions to Section 12.5. 13. Numerical Solutions of Differential Equations. Solutions to Section 13.1. Solutions to Section 13.2. Solutions to Section 13.3. Solutions to Section 13.5. Solutions to Section 13.6. Solutions to Section 13.7. Solutions to Section 13.8. 14. The Laplace Transform. Solutions to Section 14.1. Solutions to Section 14.2. Solutions to Section 14.3. Solutions to Section 14.4. Solutions to Section 14.5. Solutions to Section 14.6. Solutions to Section 14.7. Solutions to Section 14.8. Solutions to Section 14.9. Solutions to Section 14.10. 15. Systems of Linear Differential Equations. Solutions to Section 15.1. Solutions to Section 15.2. Solutions to Section 15.3. Solutions to Section 15.4. Solutions to Section 15.5. Solutions to Section 15.6. Solutions to Section 15.7. Solutions to Section 15.8. 16. Phase Portraits of Linear Systems. Solutions to Section 16.1. Solutions to Section 16.2. Solutions to Section 16.3. 17. Stability of Nonlinear Systems. Solutions to Section 17.1. Solutions to Section 17.2. Solutions to Section 17.3. Solutions to Section 17.5. Solutions to Section 17.6. 18. Applications of Linear Systems. Solutions to Section 18.1. Solutions to Section 18.2. Solutions to Section 18.3. 19. Applications of Nonlinear Systems. Solutions to Section 19.1. Solutions to Section 19.2. Solutions to Section 19.4. Solutions to Section 19.5. 20. Power Series Solutions of SecondOrder Equations. Solutions to Section 20.1. Solutions to Section 20.3. Solutions to Section 20.4. 21. Frobenius Solutions of SecondOrder Equations. Solutions to Section 21.2. Solutions to Section 21.3. Solutions to Section 21.4. Solutions to Section 21.5. Solutions to Section 21.6. Solutions to Section 21.8. Solutions to Section 21.9. A. Appendix: Review of Linear Algebra and Matrix Theory. Solutions to Section A.3. Solutions to Section A.4. Solutions to Section A.5. Solutions to Section A.6. Solutions to Section A.7. Solutions to Section A.8. Solutions to Section A.9.