TY - BOOK AU - Rainville,Earl David AU - Bedient,Phillip Edward TI - Elementary differential equations SN - 971105552X [newsprint] PY - 1989/// CY - New York, London PB - Macmillan, Collier Macmillan KW - Differential equations N1 - 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 ER -