Ordinary Differential Equations and Applications I: With Maple Examples

Second Order Differential Equations and Applications to some Models

Author(s): Benjamin Oyediran Oyelami *

Pp: 166-207 (42)

DOI: 10.2174/9789815238426124010009

* (Excluding Mailing and Handling)

Abstract

Second order differential equations and methods for solving them are studied. Methods considered are: Undetermined coefficients, Green’s and Wronskian, principle of superposition of solutions and variation of constant parameters. Also elucidated upon are: Construction of Green’s functions and applications to boundary value problems, Cauchy-Euler, Lagrange and Clairaut equations. Many solved examples and presents which include Maple ones.


Keywords: Cauchy-Euler equations, Clairaut equations, Green’s function, Lagrange, Maple solved examples, Undetermined coefficients, Variation of constant parameters, Wronskian

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