| 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 |
| The Direction Field and the Simplest Integrable Types |
| The Linear Differential Equation of First Order |
| Ordinary Differential Equations of Higher Order |
