含分段连续函数的两类一阶常微分方程初值问题的求解定理

The Solving Theorem for Initial Value Problem of Two First Order Differentiall Equations With Piecewise Continuous Function

在文献的启示下,对文献中含分段连续函数的线性常微分方程的初值问题作了推广,进一步提出含分段连续函数的Bernoulli(伯努力)方程的初值问题,文中获得了求解这两类初值问题的定理——即公式,直接应用这公式求解简捷明快.

Based on the existing theses, this paper tries to popularize the initiative-value problem of linear differen-tial equation with piecewise continuous function, and goes to pose the initial-value problem of Bernoulli Equa-tion with sectional-continuous function. It arrives at two applicable, quick-solving theorems for the kinds ofinitial-value problems.