Rainville, Earl David. 1907-
Elementary differential equations / Earl D. Rainville and Phillip E. Bedient. - Seventh edition - New York : London : Macmillan ; Collier Macmillan, c1989. - xiii, 546 pages : illustration (some color) ;
Includes index.
Contents: 1 Definitions, families of curves -- 2 Equations of order one -- 3 Elementary applications -- 4 Additional topics on equations of order one -- 5 Linear differential equations -- 6 Linear equations with constant 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 circuit 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 hypergometric type -- 20 Numerical methods -- 21 Partial differential equations -- 22 Orthogonal sets of functions -- 23 Fourier series -- 24 Boundary value problems -- 25 Additional properties of the Laplace -- 26 Partial differential equations; transform methods.
English
971105552X [newsprint]
88011130
Differential equations.
Elementary differential equations / Earl D. Rainville and Phillip E. Bedient. - Seventh edition - New York : London : Macmillan ; Collier Macmillan, c1989. - xiii, 546 pages : illustration (some color) ;
Includes index.
Contents: 1 Definitions, families of curves -- 2 Equations of order one -- 3 Elementary applications -- 4 Additional topics on equations of order one -- 5 Linear differential equations -- 6 Linear equations with constant 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 circuit 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 hypergometric type -- 20 Numerical methods -- 21 Partial differential equations -- 22 Orthogonal sets of functions -- 23 Fourier series -- 24 Boundary value problems -- 25 Additional properties of the Laplace -- 26 Partial differential equations; transform methods.
English
971105552X [newsprint]
88011130
Differential equations.