Elementary differential equations - Rainville, Earl David 1907-; Bedient, Phillip Edward 1922-.; Bedient, Richard E. (Singapore Pearson Education Asia, 1997)
Table of Contents: Preface. -- 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 Constants Coefficients -- 8. Nonhomogeneous Equations: Undetermined Coefficients -- 9. Variation of Parameters -- 10. Applications -- 11. Linear Systems of Equations -- 12. Nonhomogeneous Systems of Equations -- 13. The Existence and Uniqueness of Solutions -- 14. The Laplace Transform -- 15. Inverse Transforms -- 16. Nonlinear Equations -- 17. Power Series Solutions -- 18. Solutions Near Regular Singular Points -- 19. Equations of Hypergeometric Type -- 20. Partial Differential Equations -- 21. Orthogonal Sets of Functions -- 22. Fourier Series -- 23. Boundary Value Problems -- 24. Additional Properties of the Laplace Transform -- 25. Partial Differential Equations Transform Methods. -- Answers to Odd-numbered Exercises. Index.
Printed in the Philippines.
Includes index.
Keywords: Differential equations