TY - BOOK AU - Rainville, Earl D. TI - Elementary differential equations SN - 971105552X AV - QA 371 .R29 1989 PY - 1989/// CY - New York PB - Macmillan Publishing Company KW - DIFFERENTIAL EQUATIONS N1 - Includes index; Chapter1. Definition, families of curves -- Chapter2. Equations of order one -- Chapter3. Elementary applications -- Chapter4. Additional topics on equations of order one -- Chapter5. Linear differential equations -- Chapter6. Linear equation with constant coefficients -- Chapter7. Nonhomogeneous equations: undetermined coefficients -- Chapter8. Variation of parameters -- Chapter9. Linear systems of equations -- Chapter10. Applications -- Chapter11. The Laplace Transform -- Chapter12. Inverse Transform -- Chapter13. Linear System of Equations -- 14 Electric circuits and networks -- Chapter15. The existence and uniqueness of solutions -- Chapter16. Nonlinear equations -- Chapter17. Power series solutions -- Chapter18. Solutions near regular singular points -- Chapter19. Equations of hypergeometric type -- Chapter20. Numerical methods -- Chapter21. Partial differential equations -- Chapter22. Orthogonal sets of functions -- Chapter23. Fourier series -- Chapter24. Boundary value problems -- Chapter25. Additional properties of the laplace transform -- Chapter26. Partial differential equations; transform methods N2 - The balance between developing techniques for solving equations and the theory necessary to support those techniques remains essentially unchanged ER -