对常数变易法求微分方程通解的质疑

Question on the General Solution to the Differential Equation by Means of Constant Variation Method

通过两个例子说明了用常数变易法所求出的微分方程的通解形式是不严谨的,因此,凡用此法求出的通解都应当进行检验,使原微分方程成立的解才是此方程的"通解".

This article showed through two examples that the general solution to the differential equation by means of constant variation method is not rigorous, therefore, every solution with this method must carry on the examination, the solution which causes the original differential equation establishment is ＂the general solution＂ of this equation.