Riccati方程的2个可积定理及其应用

Two integrable theorem of Riccati equation and its application

在一定条件下给出了Riccati方程z′=z2-a(x)z+b(x)的2个求解公式.应用这些只与方程系数a(x)与b(x)相关的求解公式,求相应的Riccati方程通解过程十分简捷.

Obtained two formulae of Riccati equationz′=z2-a（x）z ＋b（x） under some conditions.By these formulae which related only witha（x） andb（x） of Riccati equation coefficient,the process of solving Riccati equation is very simple.