000 02621nam a22002897a 4500
003 OSt
005 20201118083733.0
008 201011b ||||| |||| 00| 0 eng d
020 _a9781680955712
040 _cCvSU Main Campus Library
_erda
041 _aeng
050 _aQA372
_bOr2 2017
245 _aOrdinary differential equations /
_cby 3G E-Learning
260 _aUSA :
_b3G E-learning LLC,
_c2017
300 _ax, 272 pages :
_billustrations ;
_c23 cm +
_e1 DVD (4 3/4 in.).
336 _2rdacontent
_atext
337 _2rdamedia
_aunmediated
338 _2rdacarrier
_avolume
504 _aIncludes bibliographic references and index.
505 _aEquation of first order and first degree -- Second order linear equations -- Partial differential equations -- Simultaneous differential equations -- Legendre's equation and simple properties of Pn(x) -- Laplace transformation and its application to differential equations.
520 _aAn ordinary differential equation (ODE) is an equation that involves some ordinary derivatives (as opposed to partial derivatives) of a function. Differential equations are essential for a mathematical description of nature, because they are the central part many physical theories. A few examples are Newton’s and Lagrange equations for classical mechanics, Maxwell’s equations for classical electromagnetism, Schrodinger’s equation for quantum mechanics, and Einstein’s equation for the general theory of gravitation. Therefore, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and its derivatives. The term ordinary is used in contrast with the term partial differential equation which may be with respect to more than one independent variable. ODEs that are linear differential equations have exact closed-form solutions that can be added and multiplied by coefficients. By contrast, ODEs that lack additive solutions are nonlinear, and solving them is far more intricate, as one can rarely represent them by elementary functions in closed form: Instead, exact and analytic solutions of ODEs are in series or integral form. Graphical and numerical methods, applied by hand or by computer, may approximate solutions of ODEs and perhaps yield useful information, often sufficing in the absence of exact, analytic solutions.
541 _aFund 164
_bF&J de Jesus, Inc.
_cPurchased
_dApril 23, 2018
_e76419
_fNEJ
_hPHP 6,975.00
_p2018-02-0161
_q2018-1-0101
650 0 _9481
_aDifferential equations
650 0 _9482
_aMathematics
710 _9301
_a3G E-Learning
942 _2lcc
_cBK
999 _c18756
_d18756