λ-Symmetry and Integrating Factor For x ̈(f(t,x)+g(t,x)x ̇)e^x: Mathematics, Symmetry

Khodayar  Goodarzi; M.  Nadjafikhah *

doi:10.55672/hij2022pp7-13

Authors

Khodayar Goodarzi Department of Mathematics, Borujerd Branch, Islamic Azad Uinversity, Borujerd, Iran.
M. Nadjafikhah * School of Mathematics, Iran University of Science and Technology, Narmak-16, Tehran, I.R. Iran

DOI:

https://doi.org/10.55672/hij2022pp7-13

Abstract

In this paper, we will calculate an integrating factor, first integral, and reduce the order of the non-Linear second-order ODEs , through the λ-symmetry method. Moreover, we compute an integrating factor, first integral and reduce the order for particular cases of this equation.

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