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

M Nadjafikhah

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.
Keywords: integrating factor / ODEs / equation / Symmetry and Integrating / Factor For x / λ Symmetry / symmetry method

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