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On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations

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DOI: 10.4236/am.2015.66087    3,573 Downloads   4,764 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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

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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
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[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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