Classes of second order nonlinear differential equations reducible to first order ones by variation of parameters

Details Classes of second order nonlinear differential equations reducible to first order ones by variation of parameters Classes of second order nonlinear differential equations reducible to first order ones by variation of parameters

2009-02-24

arxiv.org/abs/0902.4175v1

Mathematics

Classical Analysis and ODEs

Scientific paper

The method of parameter variation for linear differential equations is
extended to classes of second order nonlinear differential equations. This
allows to reduce the latter to first order differential equations. Known
classical equations such as the Bernoulli, Riccati and Abel equations are
recovered in illustrated relevant examples.

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