The analytical solutions for these reactor models are shown to agree very well with the numerical solutions to the exact differential equations.
两种模型正合微分方程的解析解与数值解表示出十分的吻合。
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。
The exact solutions of a set of non-linear differential equations with limiting conditions describing the anharmonic vibration of a one-dimensional lattice have been obtained.
本文列出了一维点阵非谐振动的非线性微分方程组，并求出了这组方程在相应边值条件下的解析解。
Exact response of damped linear vibrating systems to arbitrarily excitation is obtained according to theory of ordinary differential equations.
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 equation which is also called complete differential equation. The general books on differential equations only simply introduce basic solution.
在一般微分方程讲义中，只简单介绍恰当方程的基本解法。
In the chapter 1, we introduce some methods to study the exact solution of nonlinear partial differential equations.
第一章中我们简述了一些研究非线性偏微分方程精确解的方法。
By algebraic dynamical method, the exact analytical solutions of the ordinary differential equations are obtained in terms of Taylor series with local convergent radius.
用代数动力学方法求得了用泰勒级数表示的局域收敛的常微分方程的精确解。
Precise integration method for a kind of non-homogeneous linear ordinary differential equations is presented. This method can give precise numerical results approaching the exact solution.
提出了一种求解一类非齐次线性常微分方程的精细积分方法，通过该方法可以得到逼近计算机精度的结果。
Precise integration method for a kind of non-homogeneous linear ordinary differential equations is presented. This method can give precise numerical results approaching the exact solution.
提出了一种求解一类非齐次线性常微分方程的精细积分方法，通过该方法可以得到逼近计算机精度的结果。
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