本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。
This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.
该结构不需要任何精确匹配的电阻就能达到高的共模抑制比，并且其带宽不受带宽增益积的限制。
It does not need any matched components to reach high CMRR and its bandwidth is not gain-bandwidth product limited.
给出一类特殊阿贝尔方程新的可积条件，实现了计算机对该类方程可积性及其精确解的自动判定。
A new integrable condition in a kind of special Abel equation is given in this paper. We can realize the special Abel equation integrability and accurate solution by computer.
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