Elementary differential equations - Rainville, Earl David 1907-; Bedient, Phillip Edward 1922- (New York Macmillan, 1981)
Table of Contents: 1. Definitions, Elimination of Arbitrary Constants -- 2. Equations of Order One -- 3. Elementary Applications -- 4. Additional Topics on Equations of Order One -- 5. Linear Differential Equations -- 6. Linear Equations with Constants Coefficients -- 7. Nonhomogeneous Equations: Undetermined Coefficients -- 8. Variation of Parameters -- 9. Inverse Differential Operators -- 10. Applications -- 11. The Laplace Transform -- 12. Inverse Transforms -- 13. Linear Systems of Equations -- 14. Electric Circuits and Networks -- 15. The Existence and Uniqueness of Solutions -- 16. Nonlinear Equations -- 17. Power Series Solutions -- 18. Solutions Near Regular Singular Points -- 19. Equations of Hypergeometric Type -- 20. Numerical Methods -- 21. Partial Differential Equations -- 22. Orthogonal Sets -- 23. Fourier Series -- 24. Boundary Value Problems -- 25. Additional Properties of the Laplace Transform -- 26. Partial Differential Equations; Transform Methods -- Index.
Includes index.
Keywords: Differential equations