利用微分方程求辅助函数证明中值定理

Prove Mean Value Theorem through Solving Auxiliary Function Using Differential Equation

对于微分中值定理有关证明,"奇妙"的构造辅助函数问题。利用微分方程的求解,分析辅助函数的内在特征,给出一种构造方法。

Mean value theorem demonstration in differential equation; wonderfully make up the question of auxiliary function. Using solution of differential equation to analyze the inherent characteristics of auxiliary function, and a transformation method is given.