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Partial table of contents

Classification of Differential Equations

Ordinary Differential Equations of the First Order

The Direction Field and the Simplest Integrable Types

The Linear Differential Equation of First Order

Ordinary Differential Equations of Higher Order

Some Types of Nonlinear Differential Equations

Fundamental Theorems on Linear Differential Equations

Boundary-Value Problems and, In Particular, Eigenvalue Problems

Examples of Linear Boundary-Value Problems

Examples of Nonlinear Boundary-Value Problems

The Alternative in Linear Boundary-Value Problems with Ordinary Differential Equations

Particular Differential Equations

Spherical Harmonics

Bessel Functions

Series Expansions; the Hypergeometric Function

An Excursus Into Partial Differential Equations

General Solutions of Linear Partial Differential Equations with Constant Coefficients

Appendix

Partial table of contents

Classification of Differential Equations

Ordinary Differential Equations of the First Order