Rainville, Earl D.

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.

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DIFFERENTIAL EQUATIONS

QA 371 .R35 1997