The Ordinary differential equation is the language of the nature.

常微分方程是大自然的语言。

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。

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。

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。

The new model is a first-order ordinary differential equation group for the fluid pressure in the cylinder...

该方程是关于液缸内液体压力、泵阀升程与泵阀运动速度的一阶常微分方程组。

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。

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。

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。

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。

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。

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。

The forced vibration of pendulum is described by four-dimensional phase space and the fourth order autonomous ordinary differential equation.

本文用四维相空间和四阶自洽常微分方程描写了单摆的受迫振动。

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。

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。

Thus a problem of solving the output correlation function of nonlinear system is turned into a problem of solving an ordinary differential equation.

将求非线性系统输出相关函数的问题，变成解常微分方程的问题。

This course consists of several major parts, such as Functions, Limits and Continuity, The Derivative, Integration and Ordinary Differential Equation.

课程内容包括函数、极限与连续、一元函数微分学、一元函数积分学和常微分方程等几大板块。

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。

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。

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。

Using method of qualitative theory of ordinary differential equation, studies economic harvesting model with variable price and cost for a single population.

利用常微分方程定性理论的方法讨论了价格成本变化的单种群经济捕获模型。

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。

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。

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。

The generalized kink waves of the short pulse equation were studied by the qualitative theory of ordinary differential equations and numerical simulation method.

用微分方程定性理论结合数值模拟方法研究了窄脉冲方程的广义扭结波。

Numerical method of integral order ordinary differential equation, for example, Euler method, linear multiple step method, and so on, has had quite perfect theories.

对于整数阶常微分方程的数值解法，如欧拉法、线性多步法等都已有较完善的理论。

The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation.

用微分方程定性理论结合数值模拟方法研究了一类非线性四阶波动方程的纽结波。

The traditional solvent of static and dynamic problems for stepped prismatic beams is to set up ordinary differential equation in each step and answer it respectively.

阶梯梁静力和动力问题的传统解法是分离变量后分阶梯写出常微分方程并分别求解，不胜其烦。

D′Alembert′s principle is used to derive an ordinary differential equation set for free vibration of a discretized square tensioned membrane with geometric nonlinearity.

应用达朗贝尔原理建立了考虑几何非线性的方形张拉膜结构的离散非线性振动方程组；

And by using the property of derivatives of energy norms, the eigenproblem is transformed safely into a specific initial value problem of an ordinary differential equation.

利用能量范数的导数的性质，将超越特征值问题转化为常微分方程的初值问题。