A procedure on the first integrals of second-order nonlinear ordinary differential equations
Uludag University, Faculty of Arts and Sciences, Department of Mathematics, 16059, Gorukle Bursa, Turkey
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Accepted: 26 October 2015
Published online: 4 December 2015
In this article, we demonstrate the applicability of the integrating factor method to path equation describing minimum drag work, and a special Hamiltonian equation corresponding Riemann zeros for obtaining the first integrals. The effectiveness and powerfullness of this method is verified by applying it for two selected second-order nonlinear ordinary differential equations (NLODEs). As a result integrating factors and first integrals for them are succesfully established. The obtained results show that the integrating factor approach can also be applied to other NLODEs.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015