Elementary differential equations /
Earl D. Rainville, Phillip E. Bedient, and Richard E. Bedient.
- Eighth Edition
- Singapore : Prentice Hall International Inc., c1997
- xiii, 527 pages ; 24 cm.
Includes index.
1. Definitions, families of curves -- 2. Equations of order one -- 3. Numerical methods -- 4. Elementary applications -- 5. Additional topics on equations of order one -- 6. Linear differential equations -- 7. Linear equations with constant coefficient -- 8. Nonhomogeneous equations -- 9. Variation of parameters -- 10. Applications.
The new geometric material appears mainly in Section 1.4 and 11.8. In the former we introduce students to the idea of a family of curves as solutions to a differential equation, and in the latter, the concept of the phase plane of a system of equations is presented.