Differential equations : with applications and historical notes /
George F. Simmons.
- Third edition.
- 1 online resource
- Textbooks in mathematics .
- Textbooks in mathematics (Boca Raton, Fla.) .
"A Chapman & Hall Book"--cover.
1. The nature of differential equations. Separable equations -- 2. First order equations -- 3. Second order linear equations -- 4. Qualitative properites of solutions -- 5. Power series solutions and special functions -- 6. Fourier series and orthogonal functions -- 7. Partial differential equations and boundary value problems -- 8. Some special functions of mathematical physics -- 9. Laplace transforms -- 10. Systems of first order equations -- 11. Nonlinear equations -- 12. The calculus of variations -- 13. The existence and uniqueness of solutions -- 14. Numerical methods.