Ordinary differential equations / by 3G E-Learning
Material type: TextLanguage: English Publication details: USA : 3G E-learning LLC, 2017Description: x, 272 pages : illustrations ; 23 cm + 1 DVD (4 3/4 in.)Content type:- text
- unmediated
- volume
- 9781680955712
- QA372 Or2 2017
Item type | Current library | Collection | Call number | Materials specified | Status | Notes | Date due | Barcode |
---|---|---|---|---|---|---|---|---|
Books | Ladislao N. Diwa Memorial Library Reserve Section | Non-fiction | RUS QA372 Or2 2017 (Browse shelf(Opens below)) | Room use only | 76419 | 00076327 |
Includes bibliographic references and index.
Equation 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.
An 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.
Fund 164 F&J de Jesus, Inc. Purchased April 23, 2018 76419 NEJ PHP 6,975.00 2018-02-0161 2018-1-0101