| Contents |
| We study first integrals, $\lambda$-symmetries and integrating factor of the second order ordinary differential equation. We characterize the second order ordinary differential equations by the coefficients of the equation and we obtain first integrals, $\lambda$-symmetries and integrating factor in the specific form. Then using linearization methods, we determine first integrals, $\lambda$-symmetries and integrating factor of nonlinear fin equation in which the thermal conductivity and heat transfer coefficient are assumed to be functions of the temperature. And we examine these finding results for different types of thermal conductivity and the heat transfer coefficient functions. Finally, we analyze symmetry classification for conservation forms. |
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