includes appendix and index

1. Introduction and definitions. Elimination. Graphical representations
2. Equations of the first order and first degree
3. Linear equations with constant coefficients
4. Simple partial differential equations
5. Equations of the first order, but not of the first degree
6. Singular solutions
7. Miscellaneous methods for equations of the second and higher orders
8. Numerical approximations to the solution of differential equations
9. Solution in series. Method of frobenius
10. Existence theorems of picard, cauchy and frobenius
11. Ordinary differential equations with three variables and the corresponding curves and surfaces
12. Partial differential equations of the first order. Particular methods
13. Partial differential equations of the first order. General methods
14. Partial differential equations of the second and higher order
15. Miscellaneous methods