摘要
本文利用两个变量乘积的微分公式,推导出一类一阶线性非齐次徽分方程的通解公式。利用该公式解此类微分方程,仅需运用一般的积分计算技巧对微分方程的自由项求积分即可。与常数变易法的繁琐计算相比,该公式十分方便快捷。
This thesis presents a generally formula to solve a special sort of first order linear non- homogeneous differential equation,which is derived from the differential formula for the product of two variables.With this formula,such a sort of differential equation can be solved only by common integration calculations of its free term.Thus,the formula given by this article is much easier and quicker than the tedious calculations of the constant variation method.
出处
《温州职业技术学院学报》
2001年第1期27-28,共2页
Journal of Wenzhou Polytechnic
关键词
一阶线性非齐次微分方程
常数变易法
自由项
通解公式
First order linear non-homogeneous differential equation
Constant variation
Free term
