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Introduction to ordinary differential equations with Mathematica Book

Introduction to ordinary differential equations with Mathematica
Introduction to ordinary differential equations with Mathematica, These materials, which have been developed and thoroughly class tested over a period of several years by the authors, are intended for use in courses in differential equations taught at the sophomore/junior level in American colleges and universities. Pre, Introduction to ordinary differential equations with Mathematica has a rating of 3.5 stars
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Introduction to ordinary differential equations with Mathematica, These materials, which have been developed and thoroughly class tested over a period of several years by the authors, are intended for use in courses in differential equations taught at the sophomore/junior level in American colleges and universities. Pre, Introduction to ordinary differential equations with Mathematica
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  • Introduction to ordinary differential equations with Mathematica
  • Written by author A. Gray,M. Mezzino,M. Pinsky
  • Published by Santa Clara, Calif. : TELOS, c1997., 1997/07/30
  • These materials, which have been developed and thoroughly class tested over a period of several years by the authors, are intended for use in courses in differential equations taught at the sophomore/junior level in American colleges and universities. Pre
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Authors

Preface
Acknowledgments
1 Basic Concepts 1
2 Using Mathematica 17
3 First-Order Differential Equations 35
4 The Package ODE.m 73
5 Existence and Uniqueness of Solutions of First-Order Differential Equations 119
6 Applications of First-Order Equations I 155
7 Applications of First-Order Equations II 203
8 Second-Order Linear Differential Equations 235
9 Second-Order Linear Differential Equations with Constant Coefficients 265
10 Using ODE to Solve Second-Order Linear Differential Equations 303
11 Applications of Linear Second-Order Equations 325
12 Higher-Order Linear Differential Equations 381
13 Numerical Solutions of Differential Equations 407
14 The Laplace Transform 449
15 Systems of Linear Differential Equations 495
16 Phase Portraits of Linear Systems 551
17 Stability of Nonlinear Systems 581
18 Applications of Linear Systems 617
19 Applications of Nonlinear Systems 647
20 Power Series Solutions of Second-Order Equations 679
21 Frobenius Solutions of Second-Order Equations 715
App. A Review of Linear Algebra and Matrix Theory 759
App. B Systems of Units 807
Answers 811
Bibliography 869
General Index 875
Name Index 885
Miniprogram and Mathematica Index 887


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Introduction to ordinary differential equations with Mathematica, These materials, which have been developed and thoroughly class tested over a period of several years by the authors, are intended for use in courses in differential equations taught at the sophomore/junior level in American colleges and universities. Pre, Introduction to ordinary differential equations with Mathematica

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Introduction to ordinary differential equations with Mathematica, These materials, which have been developed and thoroughly class tested over a period of several years by the authors, are intended for use in courses in differential equations taught at the sophomore/junior level in American colleges and universities. Pre, Introduction to ordinary differential equations with Mathematica

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Introduction to ordinary differential equations with Mathematica, These materials, which have been developed and thoroughly class tested over a period of several years by the authors, are intended for use in courses in differential equations taught at the sophomore/junior level in American colleges and universities. Pre, Introduction to ordinary differential equations with Mathematica

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