total differential equation

his paper gives a method of obtaining the general solution of the equations to be U(x,y) = C through properly decomposing M(x,y) and N(x,y) in a total differential equation M(x,y)dx + N(x,y)dy = 0, and having indefinite integrals to get the binary function U(x, y).

本文给出了通过适当分解全微分方程Ｍ（ｘ，ｙ）ｄｘ＋Ｎ（ｘ，ｙ）ｄｙ＝０中的Ｍ（ｘ，ｙ）和Ｎ（ｘ，ｙ），然后作不定积分求出二元函数Ｕ（ｘ，ｙ），从而求得方程通解Ｕ（ｘ，ｙ）＝Ｃ的一种方法。

By means of the conditions of total differential equation,in this paper are given the integral factor and general solution of one kind of differential equation and are obtained the differential equations that satisfy the unknown functions in some of total differential equations, thus are found the unknown functions and their general solutions.

利用全微分方程的条件 ,给出一类微分方程的积分因子及通解公式 ,得出几类全微分方程中未知函数所满足的微分方程 ,获得未知函数及全微分方程的通

Transforming first order differential equation to complete differential equation by the way of integrating factors is an important means to seek solution for differential equations.

采用积分因子方法将一阶微分方程转化为全微分方程是求解微分方程一个重要手段,讨论了积分因子存在的充要条件及确定若干特殊类型积分因子的准则;通过实例来说明准则的应用方法。

By means of the conditions of complete differential equation, this paper gives the integrate factor and general solution to one kind of differential equations, and gets the second-order linear differential equation for unknown function of one kind of complete differential equations and the general solution to complete differential equation.

利用全微分方程的条件,给出一类微分方程的积分因子及通解公式,得出一类全微分方程 中未知函数所满足的二阶线性微分方程,获得未知函数及全微分方程的通解。

This paper discusses one type of complete differential equation and by means of its necessary and sufficient conditions, we obtain second-order linean differential equation whose conditions the unkown function should meet, and the expression of general solution to function and complete differential equation.

讨论了一更全做个方程的求解问题，利用全微分方程的充要条件什，得出未知函数所应满足的二阶线性微分方程，获得未知函数及全微分方程通解的表达式。

As the first order differential equation M(x,y)dx + N(x,y)dy = 0 is not an exact differential equation,finding its integral factor becomes the key to solve the equation,which is a tough issue.

一阶微分方程M(x,y)dx+N(x,y)dy=0不是全微分方程时,寻找它的积分因子成为求解方程的关键,但又是比较棘手的问题。

Formula of Seeking Solution for Some Kinds of Differential Equation;

几类有关全微分方程问题的求解公式

Full Implicit Euler Methods for Linear Stochastic Differential Equation

线性随机微分方程的全隐式Euler方法

FULL IMPLICIT EULER METHOD FOR STOCHASTIC DELAY DIFFERENTIAL EQUATIONS

随机延迟微分方程的全隐式Euler方法

Differential Characteristic Set Algorithm for the Complete Symmetry Classification of(Partial) Differential Equations

偏微分方程(组)完全对称分类微分特征列集算法

The Application of Total Differential on the Variable Transformation of the Partial Differential Equation;

全微分在偏微分方程变量替换中的应用

The Positive Entire Solution of Nonlinear Elliptic Partial Differential Equations;

非线性椭圆型偏微分方程的全局正解

The Solution of the Linear Differential Equation that Coefficient Contain Completely Cubic Type Three Function;

完全立方型三次函数为系数的线性微分方程

Global exponential stability of a kind of nonlinear integro-differential equations;

一类非线性积分微分方程的全局指数稳定

characteristic equation of differential equation system

微分方程组的特征方程

Globally Asymptotic Stability of Solutions of a Certain Fourth-order Functional Differential Equation;

一类四阶泛函微分方程解的全局渐近稳定性

Bounded Positive Entire Solutions of Semilinear Elliptic Partial Differential Equations;

半线性椭圆型偏微分方程的全局有界正解

Traveling Wavefronts of Delayed Differential Equations with Global Interaction;

具有全局效应的时滞微分方程的波前解

Global Attractivity of Solutions of the Delay-differential equation with Impulsives;

一类具有脉冲的时滞微分方程的全局吸引性

GLOBAL ATTRACTIVITY IN A CLASS OF DELAY DIFFERENTIAL EQUATIONS;

一类时滞微分方程平衡点的全局吸引性

The Conditions for the Global Stability of a Sort of Nonilinear Differetial Equations Systems;

一类非线性微分方程组全局稳定性的条件

The Global Stability of the Positive Equilibrium Point to a Model of Differential Equations

一类微分方程模型正平衡解的全局稳定性

The Fully-discrete Error Estimation in Solving the Parabolic Partial Differential Equation with EFG (Element Free Galerkin) Method

用EFG法解抛物型偏微分方程全离散的误差估计

Global Asymptotic Stability of a Class of Third-Order Nonlinear Differential Equation

一类三阶非线性微分方程的全局渐近稳定性