谈几种Riccati方程的特解及解法

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  • 【关键词】Riccati方程;特解;Bernoulli方程;行列式;初等变换On the Solving methods for some kinds of Riccati equationGao Jin-ping【Abstract】this essay mainly discusses the solving methods some kinds of Riccati equations according to the special inner relations of their coefficient functions and the usage of elementary transformation.【Key words】Riccati Equation; Particular Solution; Bernoulli Equation; Determinant; Elementary Transformation.一、 引言由牛顿(Newton,1642-1727)和莱不尼兹(Lenbinz,1646-1716)所创立的微积分,是人类科学史上重大的发现,而微积分的产生与发展,和人们求解微分方程有密切关系.(剩余6468字)