【摘要】 运用动力系统定性理论,提出一种分析非线性方程解的方法,从而可以避免求解的繁琐过程,得到非线性方程解的几何形态.此方法特别适合于分析难以求出精确解的方程.更多还原

【Abstract】 By using the qualitative theory of dynamical systems to differential equations,we advance a technique to analyse non-linear differential equations.The geometry shapes of the solutions of the differential equation are obtained,avoiding the fussy process of solving equations.The technique specially adapt to analyse the differential equation whose accurate solutions are difficult to be obtained.更多还原