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。
Numerical method of integral order ordinary differential equation, for example, Euler method, linear multiple step method, and so on, has had quite perfect theories.
基于能量法中的最小势能原理，结合欧拉方程建立了构件变形后的中性平衡微分方程。
Based on the minimum potential theory of energy method, adopting Eular equation, the governing differential equations of curved beam were established.
说明：微分方程通用程序，可以用龙格库塔法和欧拉法同时进行计算。
The general program of differential equations can be calculated at the same time using the Runge-Kutta method and Euler method.
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。
A kind of ordinary difference equation that can be transferred to Euler equation, often appears in polar coordinates solution of elastic problems.
通过对交通流参数的微分分析，建立了交通流的运动微分方程和欧拉方程。
Traffic momentum differential equation and Euler's equation are constructed by means of differential calculus.
利用欧拉公式，得到曲线演化的偏微分方程。那两条曲线将在想得到的边界停止。
With Eulerian formulation the partial differential equations (PDEs) of curve evolution are given and the two curves will stop on the desired boundary.
对欧拉梁的大变形问题进行了深入研究，直接从欧拉梁的非线性挠曲线微分方程，推导出求解梁挠度的一种简便有效的积分表达式。
Large deformation problems of Euler beams are studied. An efficient integration formula for the deflection is deduced directly from the nonlinear differential equation.
随机延迟微分方程数值方法中欧拉方法是唯一较为成熟、有效的方法，但欧拉方法的收敛性差，其收敛阶仅为二分之一。
Only the Euler method is popular and efficient among the numerical methods for the stochastic delay differential equations, but its order of convergence is only 1/2.
采用降阶和特征根 （欧拉 ）方法 ，给出了一类三维二阶常系数微分方程组的通解公式 ，并通过算例与拉氏变换法进行了比较。
With the variable replacement method, general solution formulae were given to the linear differential systems with complex constant coefficients and that with a class of complex variable coefficients.
选取了不可压缩无粘流体的欧拉运动微分方程作为尾流场的控制方程，螺旋桨则用升力线理论计算。
The Euler equations of incompressible and inviscid fluid are used for control equations of the stern flow field, and the propeller is computed by lift line theory.
选取了不可压缩无粘流体的欧拉运动微分方程作为尾流场的控制方程，螺旋桨则用升力线理论计算。
The Euler equations of incompressible and inviscid fluid are used for control equations of the stern flow field, and the propeller is computed by lift line theory.
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