Local cover image
Local cover image
Amazon cover image
Image from Amazon.com

Ordinary differential equations / by 3G E-Learning

Contributor(s): Material type: TextTextLanguage: English Publication details: USA : 3G E-learning LLC, 2017Description: x, 272 pages : illustrations ; 23 cm + 1 DVD (4 3/4 in.)Content type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9781680955712
Subject(s): LOC classification:
  • QA372 Or2 2017
Contents:
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.
Summary: 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.
List(s) this item appears in: Print Books 2020
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Item type Current library Collection Call number Materials specified Status Notes Date due Barcode
Books 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

Click on an image to view it in the image viewer

Local cover image
Copyright © 2023. Cavite State University | Koha 23.05