includes index

a. Origin of differential equations ;
2. Solutions of differeential equations ;
3. Equations of first order and first degree ;
4. Variables separable and reduction to variables separable ;
5. Equations of first order and first degree ;
6. Exact equations and reduction to exact equations ;
7. Equations of first order and first degree ;
8. Linear equations and those reducible to that form ;
9. Geometric applications ;
10. Physical applications ;
11. Equations of first order and higher degree ;
12. Singular solutions ;
13. Extraneous loci ;
14. Applications of first order and higher degree equations ;
15. Linear equations of order n ;
16. Homogeneous linear equations with constant coefficients ;
17. Linear equations with constant coefficients ;
18. Variation of parameters, undetermined coefficients ;
19. Linear equations with constant ;
20. Short methods ;
21. Linear equations with variable coefficients ;
22. The Cauchy and Legendre linear equations ;
23. Linear equations with variable coefficients ;
24. Equations of the second order ;
25. Linear equations with variable coefficients ;
26. Miscellaneous types ;
27. Applications of linear equations ;
28. Systems of simultaneous linear equations ;
29. Total differential equations ;
30. Applications of total and simultaneous equations ;
31. Numerical approximations of to solutions ;
32. Integration in series ;
33. Integration in series ;
34. The Legendre, Bessel, and Gauss equations ;
35. Partial differential equations ;
36. Linear partial differential equations of order one ;
37. Non-linear partial differential equations of order one ;
38. Homogeneous partial differential equations of higher order with constant coefficients ;
39. Partial differential equations of order two with variable coefficients.