Elementary Differential Equations and Boundary Value Problems, International Adaptation - Douglas B. Meade

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Résumé :

TABLE OF CONTENTS?

1 Introduction??

1.1 Some Basic Mathematical Models??

1.2 Solutions of Some Differential Equations??

1.3 Classification of Differential Equations??

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2 First-Order Differential Equations??

2.1 Linear Differential Equations...

Biographie:
the Wronskian??

3.3 Complex Roots of the Characteristic Equation??

3.4 Repeated Roots...

Sommaire:
Method of Integrating Factors??

2.2 Separable Differential Equations??

2.3 Modeling with First-Order Linear Differential Equations??

2.4 Differences Between Linear and Nonlinear Differential Equations??

2.5 Autonomous Differential Equations and Population Dynamics??

2.6 Exact Differential Equations and Integrating Factors??

2.7 Numerical Approximations: Euler's Method??

2.8 The Existence and Uniqueness Theorem??

2.9 First-Order Difference Equations??

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3 Second-Order Linear Differential Equations??

3.1 Homogeneous Differential Equations with Constant Coefficients??

3.2 Solutions of Linear Homogeneous Equations...