Solutions on Generalized Non-Linear Cauchy-Euler Ode

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Wasihun Assefa Woldeyes
Wasihun Assefa Woldeyes
2
Beletu Worku Beyene2
Beletu Worku Beyene2

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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.

12 Cites in Articles

References

  1. Daniel Zwillinger (1997). Fractional Differential Equations*.
  2. N Finizio,G Ladas (1982). Ordinary Differential Equations with Modern Applications.
  3. L Jodar (1987). Boundary-value problems and cauchy problems for the second-order Euler operator differential equation.
  4. G Simmons (1972). Differential Equations with Applications and Historical Notes.
  5. G Valiron (1950). The Geometric Theory of Ordinary Differential Equations and Algebraic Functions.
  6. Peeyush Chandra,A Lal,V Raghavendra,G Santhanam Notes on Mathematics-102 1 , 1 Supported by a grant from MHRD.
  7. Edward Burkard (2010). - Introduction.
  8. Jeffrey Chasnov (2014). Introduction.
  9. Thomas Kecker (2014). Singularity structure of nonlinear ordinary and partial differential equations.
  10. N Euler,T Wolf,M Leach,Euler (2002). Linearisable Third Order Ordinary Differential Equations and Generalised Sundman Transformations.
  11. P Subramanian,Melisa Hendrata (2011). Lecture Notes on Ordinary Differential Equations.
  12. Paul Dawkins (2007). Stationary Partial Differential Equations.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

Wasihun Assefa Woldeyes. 2019. \u201cSolutions on Generalized Non-Linear Cauchy-Euler Ode\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F8): .

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Issue Cover
GJSFR Volume 18 Issue F8
Pg. 43- 48
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 45E05
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v1.2

Issue date

February 6, 2019

Language

English

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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.

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Solutions on Generalized Non-Linear Cauchy-Euler Ode

Wasihun Assefa Woldeyes
Wasihun Assefa Woldeyes
Beletu Worku Beyene2
Beletu Worku Beyene2

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