齐次方程

令发电机稳态运行所对应齐次方程的行列式为零，并使发电机的端电压为恒值，计算不同运行状况下机端电容值。

By equating the determinant of the steady-state homogeneous equation to zero , the terminal capacitances for maintaining constant voltage are computed .

求得了方程的特解，结合钱伟长的齐次方程一般解，给出了环壳一般轴对称问题的一般解答。

Combining with Chien 's general solution of homogeneous equation , this paper gives the general solution for the general symmetry problems of ring shells .

N阶常系数线性非齐次方程通解的积分表达式

An integral representation for general solution of n-order constant coefficient nonhomogeneous linear equation

用乘积的高阶导数莱布尼兰公式推导出了n阶常系数线性非齐次方程通解的积分表达式。

Leibniz ' formula of the product derivative of higher order has been adopted to derive an integral representation for general solution of n-order constant coefficient nonhomogeneous linear equation .

将Liouville公式推广到n阶线性非齐次方程，并给出了若干应用。

In this paper , the formula of Liouville is extended to n-th-order linear nonhomogeneous differential equation , and its applications are given .

线性非齐次方程的Liouville公式及应用

Formula of Liouville of Linear Nonhomogeneous and Its Applications

本文利用MATLAB符号工具箱，通过编程可求出齐次方程的解，通过自动寻找积分因子，从而求出全微分方程的通解，另外指出文献[3]中的一个错误。

This paper applies symbol toolbox of MATLAB to solve the implicit solution of the homogeneous and complete differential equation by programming and point out one error in reference [ 3 ] .

推导了电力系统潮流二次齐次方程运算式中J（下标i）矩阵的特徵值和特徵向量。

The eigenvalues and eigenvectors of the J ( subscript I ) matrices in quadratic formulation of the load flow equations are derived in detail in this paper .

二维线性齐次方程组的求解方法

The Method of Solving 2-DIM Linear Homogeneous Differential Equation Set

线性非齐次方程待定函数法及相关定理证明

Theorem of method of undetermined function for linear nonhomogeneous and its proof

某一类一阶中立型线性非齐次方程的振动性

Oscillation of a Class of First Order Linear Non - homogeneous Neutral Equations

§4.线性非齐次方程比较定理。

§ 4 Comparison theorems of linear nonhomogeneous equations .

二阶线性非齐次方程振荡性的研究

Researching on Oscillatory Solution of the Second Order Linear Nonhomogeneous Ordinary Differential Equation

二阶变系数线性齐次方程的三个可积充分条件

The Three Sufficient Conditions of Quadrature about Linear Homogenous Differential Equation of Second-order Variable Coefficient

又给出了具有完全历史的非齐次方程的一般解公式。

The formula of general solutions of non-homogenous equations with complete history is also given .

二阶线性齐次方程的注记

Note of second order linear homogeneous equations

§3.二阶线性齐次方程振动比较定理。

§ 3 Comparison theorems of the oscillation of linear homogeneous equations of the second order .

用降阶法解两类三阶线性齐次方程

Using the method of reduction order to solve two sorts of third-order linear homogeneous differential equations

另外，论文还对求解二次齐次方程组的保留非线性法进行了扩展，使之能求解含有一次项的二次潮流方程。

Besides , the algorithm retaining nonlinearity for quadratic homogeneous equations is extended to solve the quadratic equations with linear terms .

得到了一些方程振动的充分条件，推广了某些齐次方程的振动结果。

The author gets some sufficient conditions for the equations to oscillate and gener-alizes the result of oscillation of some homogeneous equations .

采用精细积分法计算状态转移矩阵，可以得到齐次方程的精确解；

The state transfer matrices are calculated with the precise integration method and the precise solutions of homogeneous equations can be obtained .

多元多项式齐次方程组的一个解法

A construction in solving systems of homogeneous equations of multivariate-polynomials a solution to a class of systems of linear first order homogeneous equations

待定系数法求常系数线性齐次方程特解问题的探讨

Approach to the Problem in Working out the Particular Solution to the Nonhomogeneous Linear Differential Equation with Constant Coefficients by the Method of Undetermined Coefficients

本文采用求解非齐次方程组的广义黎曼问题解，对模型数值通量计算格式进行了修改。

In hydrodynamics , however , the scheme for numerical flux is constructed from the solution of the generalized Riemann problem in the present research .

给出确定二阶常系数线性非齐次方程特解中多项式系数的公式。

N this paper the authors establish formula of polynomial coefficients for a particular solution of linear nonhomogeneous differential equations of second order with constant coefficients .

在齐次方程组求解的过程中，初等行变换的运算过程有时显得并不简便。

In the solving process of homogeneous equation set , the operational procedure for elementary line transformation is sometimes not simple and convenient as it seems to be .

其次，通过这一个特解用降阶法得到另外一个与之线性无关的特解，从而得到线性齐次方程的通解；

Secondly , we also get another special linearly independent solution by the method of declining the rank , then the general solutions of this differential equation are derived ;

介绍了具有变系数二阶线性齐次方程修正渐近解在力学中的应用，同时，通过实例计算证实了该修正渐近法不但计算过程简便而且计算精度也高。

The applications of this solution in mechanics were given by actual examples . It was verified that this solution applied in mechanics calculation was simple and highly precise .

探讨在利用对应直线进行摄像机外部参数校正的过程中，如何快速简便地确定齐次方程组系数矩阵秩的问题。

In camera calibration with line correspondences , it is important to determine the rank of the coefficient matrix of the equation system in a quick and efficient way .

若三阶线性齐次方程满足特定条件，它可以通过降阶法求解。

In this paper , two sorts of third-order linear homogeneous differential equations are solved by the method of the reducing order , which must satisfy some specific terms .