Abstract
In this papers some integrable types of more general nonlinear ordinary differential equations of higher-orders are proposed in virtue of Leibnitz formula, and formulas of higher-order derivatives of the composite functions as well as substitution variables. The expressions for the general integrations of some of the equations are presented. The results obtained are the generalization of those in the references. Finally, some examples are also given.
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Guang-song, T., Jü-qing, D. Integrable types of nonlinear ordinary differential equations of higher-orders. Appl Math Mech 12, 1097–1103 (1991). https://doi.org/10.1007/BF02457493
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DOI: https://doi.org/10.1007/BF02457493