Yaşar, EmrullahYıldırım, Yakup2024-08-082024-08-082015-12-042190-5444https://doi.org/10.1140/epjp/i2015-15240-0https://link.springer.com/article/10.1140/epjp/i2015-15240-0https://hdl.handle.net/11452/43796In 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.eninfo:eu-repo/semantics/closedAccessScience & technologyPhysical sciencesPhysics, multidisciplinaryPhysicsArticle0003673988000021301210.1140/epjp/i2015-15240-0