Solutions on Generalized Non-Linear Cauchy-Euler Ode
Cauchy-Euler equation, nonlinear ODE
Abstract
In this note, the authors generalize the linear Cauchy-Euler ordinary differential equations (ODEs) into nonlinear ODEs and provide their analytic general solutions. Some examples are presented in order to clarify the applications of interesting results.
Downloads
How to Cite
References
Daniel Zwillinger (1997) Fractional Differential Equations*. 258-262.
N Finizio, G Ladas (1982) Ordinary Differential Equations with Modern Applications.
L Jodar (1987) Boundary-value problems and cauchy problems for the second-order Euler operator differential equation. 91, 1-12.
G Simmons (1972) Differential Equations with Applications and Historical Notes.
G Valiron (1950) The Geometric Theory of Ordinary Differential Equations and Algebraic Functions.
Peeyush Chandra, A Lal, V Raghavendra, G Santhanam Notes on Mathematics-102 1 , 1 Supported by a grant from MHRD.
Edward Burkard (2010) - Introduction. 20-51.
Jeffrey Chasnov (2014) Introduction. V-VI.
Thomas Kecker (2014) Singularity structure of nonlinear ordinary and partial differential equations.
N Euler, T Wolf, M Leach, Euler (2002) Linearisable Third Order Ordinary Differential Equations and Generalised Sundman Transformations.
P Subramanian, Melisa Hendrata (2011) Lecture Notes on Ordinary Differential Equations.
Paul Dawkins (2007) Stationary Partial Differential Equations.
Published
2019-02-06
Issue
Section
License
Copyright (c) 2018 Authors and Global Journals Private Limited

This work is licensed under a Creative Commons Attribution 4.0 International License.