Rainville, Earl D. <br/><br/>
Elementary differential equations / 
Earl D. Rainville and Phillip E. Bedient 
 - Seventh edition 
 - New York :  Macmillan Publishing Company,  c1989 
 - xiii , 545 pages ;  22 cm . 
<br/><br/>Includes index. 
<br/><br/>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 . 
<br/><br/> The balance between developing techniques for solving equations and the theory necessary to support those techniques remains essentially unchanged. 
<br/><br/><label>ISBN: </label>971105552X 
<br/><br/><label>Subjects--Topical Terms: </label><br/>DIFFERENTIAL EQUATIONS
<br/><br/><label>LC Class. No.: </label>QA 371 .R29 1989