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。
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。
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 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。
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。
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。
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。
Finally, some numerical examples are provided to show that the fractional order linear multiple step method for solving the fractional order ordinary differential equation is an effective method.
最后给出了一些数值例子，证实了这个分数阶线性多步法是解分数阶常微分方程的一个有效方法。
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。
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。
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。
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。
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。
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。
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