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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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Add 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 to the inventory that you are selling on WonderClubX
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Add 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 to your collection on WonderClub |