Preliminary Group Classification of y" = f(x)y2

C. Wafo Soh; F. M. Mahhomed

doi:10.3390/mca4030289

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Article

1 December 1999

Preliminary Group Classification of y" = f(x)y2

and

Department of Computational and Applied Mathematics & Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits 2050, Johannesburg, South Africa

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Math. Comput. Appl.1999, 4(3), 289-295;https://doi.org/10.3390/mca4030289

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Abstract

Direct group classification of y" = f(x)y² fails because the classifying condition is a third-order non-linear integro-differential equation for which a closed form solution is unknown. This fact prevents a complete group classification. In this paper we resort to the method of preliminary group classification in order to perform a partial group classification of the ordinary differential equation (ode) mentioned above and obtain new classes that admit symmetry.

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