AM  Vol.6 No.6 , June 2015
On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations
ABSTRACT
In this paper, a new approach for solving the second order nonlinear ordinary differential equation y’’ + p(x; y)y’ = G(x; y) is considered. The results obtained by this approach are illustrated by examples and show that this method is powerful for this type of equations.

Cite this paper
Zraiqat, A. and Al-Hwawcha, L. (2015) On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations. Applied Mathematics, 6, 953-957. doi: 10.4236/am.2015.66087.
References
[1]   Polyanin, A.D. and Zaitsev, V.F. (2003) Handbook of Exact Solutions for Ordinary Differential Equations. 2nd Edition, Chapman & Hall/CRC Press, Boca Raton.

[2]   Al-Hwawcha, L.K. and Abid, N.A. (2008) A New Approach for Solving Second Order Ordinary Differential Equations. Journal of Mathematics and Statistics, 4, 58-59.
http://dx.doi.org/10.3844/jmssp.2008.58.59

[3]   Polyanin, A.D. and Manzhirov, A.V. (2006) Handbook of Mathematics for Engineers and Scientists. Chapman & Hall/ CRC Press, Boca Raton. http://dx.doi.org/10.1201/9781420010510

[4]   Zwillinger, D. (1997) Handbook of Differential Equations. 3rd Edition, Academic Press, Boston.

[5]   Polyanin, A.D., Zaitsev, V.F. and Moussiaux, A. (2002) Handbook of First Order Partial Differential Equations. Taylor & Francis, London.

[6]   Kamke, E. (1977) Differentialgleichungen: Losungsmethoden und Losungen. I. Gewohnliche Differentialgleichungen. B. G. Teubner, Leipzig.
http://dx.doi.org/10.1007/978-3-663-05925-7

[7]   Boyce, W.E. and Di Prima, R.C. (2000) Elementary Differential Equations and Boundary Value Problems. John Wiley and Sons, Inc., Hoboken.

 
 
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