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Basic theory of ordinary differential equations

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Cover of 'Basic theory of ordinary differential equations'

Table of Contents

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    Book Overview
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    Chapter 1 Fundamental Theorems of Ordinary Differential Equations
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    Chapter 2 Dependence on Data
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    Chapter 3 Nonuniqueness
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    Chapter 4 General Theory of Linear Systems
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    Chapter 5 Singularities of the First Kind
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    Chapter 6 Boundary-Value Problems of Linear Differential Equations of the Second-Order
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    Chapter 7 Asymptotic Behavior of Solutions of Linear Systems
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    Chapter 8 Stability
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    Chapter 9 Autonomous Systems
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    Chapter 10 The Second-Order Differential Equation $$\frac{{{{d}^{2}}x}}{{d{{t}^{2}}}} + h\left( x \right)\frac{{dx}}{{dt}} + g\left( x \right) = 0$$
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    Chapter 11 Asymptotic Expansions
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    Chapter 12 Asymptotic Solutions in a Parameter
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    Chapter 13 Singularities of the Second Kind
Attention for Chapter 10: The Second-Order Differential Equation $$\frac{{{{d}^{2}}x}}{{d{{t}^{2}}}} + h\left( x \right)\frac{{dx}}{{dt}} + g\left( x \right) = 0$$
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