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.
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。
Ordinary linear differential equation with its solution is an approximate method to describe dynamic laws of nature, Strickly speaking, most laws of nature is nonlinear.
自然界的运动规律常常用线性微分方程来描述，但进行深入的考虑，更多的运动规律是非线性的。
The ordinary differential equation of round laminar jet of power-law fluid is derived, and the solution of this equation by numerical integration is obtained.
用层流边界层方程，导出幂律流体轴对称层流自由射流的常微分方程，并给出其方程的数值解。
Proposed a new form of non-linear first-order ordinary differential equation, meanwhile, it shows the parameter form of universal solution.
提出一阶非线性常微分方程新的可积型，且给出其通解的参数形式。
In this paper, some counter examples to the conclusions of singular solution and envelope in two textbooks of ordinary differential equation are given.
给出了两种常微分方程教材中关于奇解与包络关系结论的反例。
Based on the standard basic solution of ordinary differential equation, formulas for computing stresses and lateral deflections of piles under horizontal loading and vertical axial force are derived.
根据常微分方程的标准基本解，本文导出在侧向荷载与垂直轴力作用下桩的内力与侧移计算公式。
Based on the standard basic solution of ordinary differential equation, formulas for computing stresses and lateral deflections of piles under horizontal loading and vertical axial force are derived.
根据常微分方程的标准基本解，本文导出在侧向荷载与垂直轴力作用下桩的内力与侧移计算公式。
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