导出的非线性微分方程存在解析积分，从而得出转体运动的一般规律，计算结果与数值积分结果相一致。
The general characteristics of the turning motion are obtained, and the results of the analytic calculation agree with those of numerical integration.
一般说来，线性微分方程属于解起来最简单的一种。
Linear differential equations are, generally speaking, among the simplest to solve.
利用常微分方程组理论在较一般条件下求出了线性有阻尼多自由度振动系统对任意外激励的精确响应。
Exact response of damped linear vibrating systems to arbitrarily excitation is obtained according to theory of ordinary differential equations.
二阶常系数非齐次线性微分方程的特解一般都是用“待定系数”法求得的，但求解过程都比较繁琐。
In general, special solution of non-homogeneous linear equation of constant coefficient of the second order is obtained by the method of undetermined coefficient, but it's process is too complicated.
结论的普遍性可以推广到数学力学学科，并给出了这一类三阶非线性微分方程求定性解的一般方法。
The universality of the conclusion can be spread to mathematics and mechanics science also and give a popular method to solving this third-order nonlinear differential equation qualitatively.
本文给出了一般开链弹性机器人机构动力学方程。该方程是由关节广义坐标和杆件模态坐标联立的非线性微分方程组。
In this paper the governing equations of flexible manipulators are derived, which are nonlinear simultaneous differential equations of joint variables and link elastic modal coordinates.
探讨了某些特殊类型二阶变系数齐次线性常微分方程的解与系数的广义关系，尝试了从理论上给出通解的一般形式和特解的系数决定式。
The thesis analyzes the relationship between Wronsky determinant and linear equation relativity of function in order to get the common solution determinant of linear differential coefficient equation.
针对定常解析非线性系统进行能控性分析，采用微分方程级数解法得到状态方程的一般级数解，用作能控性分析的基本依据。
For the controllability of constant non linear system by using the progression method, the general progression solution of state equation is obtained.
讨论非线性变延迟微分方程初值问题一般线性方法的稳定性。
The stability of general linear methods for a nonlinear multi-delay differential equation;
讨论非线性变延迟微分方程初值问题一般线性方法的稳定性。
The stability of general linear methods for a nonlinear multi-delay differential equation;
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