This course consists of several major parts such as ordinary differential equation vectors and analytic geometry derivatives integration and series.
课程内容包括常微分方程、空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
Quantity and space both play a role in analytic geometry, differential geometry, and algebraic geometry.
数量和空间在解析几何，微分几何和代数几何中都发挥作用。
It is very difficult to get analytic solution except some very specific cases for the model owing to nonlinear partial differential equation.
由于非饱和流动的数学模型归结为非线性的偏微分方程，除了一些很特殊的情况外，很难得到解析解。
In this paper, the exact analytic method is suggested to solve variable coefficient differential equations under arbitrary, boundary condition.
本文首次提出精确解析法，用以求解任意变系数微分方程在任意边界条件下的解。
In this chapter, existence of analytic solutions of an iterative differential equation with state-dependent delays is studied by using a similar method.
本章同样使用优级数法讨论一类带时滞的迭代微分方程解析解的存在性。
Based on the analysis of CRCP differential cell, a general analytic solution considering nonlinear bond-slip relation between steel bar and concrete and that between concrete and base is deducted.
通过对CRCP微分单元的分析，推导了考虑钢筋与混凝土间及混凝土与地基间非线性粘结-滑移关系的温度应力通用解析解。
On the assumption that the media is an ideal fluid, the analytic solution for differential equations of disturbing flow is obtained.
在理想气体假设下给出了扰动流运动微分方程组的解析解；
In this paper , the undermined function method has been used to study the analytic solution of nonlinear orbit differential equation. In a case four kinds analytic solution are given.
利用待定函数法研究了非线性轨道微分方程的解析解，求出了一类情形下的四类解析解。
Basing on a partition of region d, we generalize the differential mean-value theorems for analytic functions and conjugate analytic functions to a high order case.
以分割区域d为基础将解析函数与共轭解析函数的微分中值定理推广到高阶形式。
A variable length simple pendulum model is introduced, elementary analysis and perturbation analytic solution of nonlinear differential equation for parametric resonance are presented.
采用可变长度单摆的力学模型对秋千振荡给出初等分析，采用微扰近似法导出了秋千的非线性参数共振解析解， 并进行了讨论。
The differential equations that describe the artificial satellite motion are very complicated, and it is impossible to get the analytic express of solution.
描述人造卫星运动的微分方程非常复杂，不可能给出解的解析表达式。
The differential equations that describe the artificial satellite motion are very complicated, and it is impossible to get the analytic express of solution.
描述人造卫星运动的微分方程非常复杂，不可能给出解的解析表达式。
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