Elementary Differential Equations - Rainville, Earl D. (New York : Macmillan Publishing Co., Inc, 1974)
1. Definitions, Elimination of Arbitrary Constants2. Equations of Order One3. Elementary Applications4. Additional Topics on Equations of Order One5. Linear Differential Equations6. Linear Equations with Constant Coefficients7. Nonhomogeneous Equations: Undetermined Coefficients8. Variations of Parameters9. Inverse Differential Operators10. The Laplace Transform11. Inverse Transforms12. Applications13. Systems of Equations14. Electris Circuits and Networks15. The existence and Uniqueness of Solutions16. Nonlinear Equations17. Power Series Solutions18. Solutions Near Regular Singular Points19. Equations of Hypergeometric Type20. Numerical Methods21. Partial Differential Equations22. Orthogonal Sets23. Fourier Series24. Boundary Value Problems25. Additional Properties of the Laplace Transform26. Partial Differential Equations; Tranform Methods