浅析常微分方程的常数变易法

Analysis of Variation of Constants Method of Ordinary Differential Equations

常数变易法是解决一阶非齐次线性微分方程通解的有效方法,但是多数教材只讲解了使用方法,而没有给出此法的由来。讨论常数变易法的由来,并对其进行推广,从而加深对常数变易法的理解和掌握。

The variation of constants method is an effective way to solve the first-order linear non-homogeneous differential equation, but most textbooks only explain the use of method, did not give the origin of this method. Discusses the origin of the variation of constants method, promotes and enhances the understanding and grasp of the variation of constants method.