This example demonstrates the use of lsode, an ordinary differential equation solver.
这个例子展示了lsode的用法，这是一个常见的微分方程解算器。
The Ordinary differential equation is the language of the nature.
常微分方程是大自然的语言。
The sum formulas of several kinds of ordinary series with function term are deduced by using the method of solving linear differential equation.
本文试应用求解一阶线性微分方程的方法导出几类常见的函数项级数的求和公式。
The ordinary differential equation singular boundary value problem is one of the most important branches of ordinary differential equations.
常微分方程边值问题是常微分方程理论研究中最为重要的课题之一。
In this approach we have the freedom in the choice of step size during the integration of the ordinary differential equation.
在这种方法中，我们可以在对常微分方程进行积分的过程中自由选择步长。
Ordinary differential equation with constant coefficients transform into algebraic equations that can be used to implement the transfer function concept.
常系数的常微分方程变换为代数方程可以用于实现传递函数的概念。
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。
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。
In seismic inversion, the inverse matrix is mostly huge singular, the ordinary methods cannot be directly used to solve the equation, and the SVD technique must be used.
在地震波阻抗反演中，其反演矩阵多为接近奇异的大型矩阵，不能用一般方法直接求解，而要用奇异值分解(SVD)方法解方程。
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。
The ordinary style of the curve projection equation and the formule of some kinds of the curve projection as well as the examples for its application are given.
给出了曲线投射方程关系的一般式，导出几种曲线投射的投影关系式并举例说明。
Some simple application of method of integrating factor that solve ordinary differential equation is discussed on the limit theory, differential and integral.
讨论了解常微分方程的积分因子法在极限理论、微分学、积分学中的一些应用。
A kind of ordinary difference equation that can be transferred to Euler equation, often appears in polar coordinates solution of elastic problems.
在弹性力学问题的极坐标解答中，经常会遇到一类可转化为欧拉方程的常微分方程。
Method of leading variables is method of solving linear ordinary differential equation of first order.
常数变易法是作为求解一阶线性方程的解法给出的。
Many of the exact solutions of (3 + 1) dimensional breaking soliton equation are obtained by using a simple transformation relation and solving the ordinary differential equation.
首先通过变换关系和求解简单的常微分方程，得到了(3 +1)维破裂孤子方程丰富的孤立波解和周期波解。
The standard singular point is an important structure of the differential-algebraic equation systems(DAEs), by which DAEs are differentiated from the ordinary different equation systems (ODEs).
标准奇异点是微分代数方程系统区别于常微分方程系统的一个标志性的拓扑结构，具有重要的理论研究意义。
An annular model for chemostat was depicted by a group of ODE(ordinary differential equation) to imitate the ecosystem which included competition and predator-prey relations in nature.
为模拟自然界中既包含竞争关系又包含捕食-被捕食关系的生态系统，建立用常微分方程组表示的环状模型。
The stochastic differential equation is used to replace the ordinary differential equation to describe the process of the flow concentration more reasonable.
为了更合理的描述汇流过程，建模时应用随机微分方程替代确定性常微分方程。
The mathematical expression of this model is a second order non linear ordinary difference equation.
该模型的数学形式是一个非线性二阶常微分方程，利用有限差分方法进行求解。
The method of differentiator series and its simple application in partial (or ordinary) differential equation is introduced. Some formulae of differentiator series and examples are given.
介绍了微分算子级数法在微分方程求解中的应用，给出了方程的微分算子级数解的根据及解偏微分、常微分方程的实例。
The result shows that it is effective for solving ordinary differential equation with variable coefficients.
结果表明，该方法对于求解各类变系数常微分方程是十分有效的。
Depending on the numerous results calculated by the ordinary method, this paper matches an empirical equation for calculating the rate of coal gas in saturated hot-water tower.
本文以大量常规计算结果为依据，拟合了一个用于计算饱和热水塔煤气量的经验方程。
When energy equation for element was built, variational method was used to get ordinary differential equation.
在建立单元的能量方程后，对方程进行变分得到墙元的常微分方程。
The CAI teaching of a first-order ordinary differential equation is discussed with computer MATLAB software, and its feasibility and convenience is introduced.
利用MATLAB进行一阶常微分方程的计算机辅助教学，探讨用MATLAB进行一阶常微分方程辅助教学的可行性、方便性。
Essentially, the opposite reaction kinetics process is a process of resolving the first order ordinary differential equation.
对峙反应动力学过程，其实质是一个求解一阶常微分方程的过程。
This paper proves that the quasilinearization method for parameter estimation of ordinary differential equation in chemical reaction kinetics essentially belongs to the region of Gauss-Newton method.
本文通过理论推导，证明在反应动力学常微分方程参数估值中所采用的拟线性化法在本质上仍然属于高斯—牛顿法的范畴。
Among ordinary differential equation equations, differential inequality is a useful tool which helps research on properties of equation-solving.
在常微分方程论中，微分不等式是研究方程解的各种属性的有用工具。
Time precision integration method is a mature numerical algorithm to solve the ordinary differential equation.
精细积分法是求解常微分方程的一种成熟的数值算法。
Time precision integration method is a mature numerical algorithm to solve the ordinary differential equation.
精细积分法是求解常微分方程的一种成熟的数值算法。
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