一类二阶非线性微分方程通过参数变分可化为一阶微分方程
Classes of second order nonlinear differential equations reducible to first order ones by variation of parameters
摘要：
将线性微分方程的参数变分法推广到二阶非线性微分方程。这允许将后者简化为一阶微分方程。已知的经典方程，如伯努利，Riccati和阿贝尔方程恢复说明相关的例子。
英文摘要：
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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