常数变易法

例如：常数变易法，不等式分析技巧，Gronwall-Bellman不等式以及经典的Liapunov函数法，Dini导数等。

For example cons-tance variation , inequality analyze technique , Gronwall-Bellman inequality and clas-sical Liapunov function , Dini derivation ect .

常数变易法求解一类四阶常系数非齐次线性微分方程

On Solving Linear Differential Equations of Order Four with Constant-transform Method

一阶非线性微分方程的常数变易法

Non-linear ordinary differential equation of first order with method of leading variables

简化常数变易法求解二阶欧拉方程

One Simplified Method to Get Solution of Euler Equation of Order 2

解两类非线性微分方程的常数变易法非线性积分微分方程

A Method of Constant Variation for solving Two Kinds of Nonlinear Differential Equation

常数变易法是求解非齐次线性微分方程的一种有效方法。

Methods of constant variation are an efficient solution to all nonlinear differential equations .

求解广义经典力学方程的常数变易法

The Method of Variation of parameters for Solving the Equations of Generalized Classical Mechanics

常数变易法求二阶常系数线性微分方程的特解

Variation Constant for Particular Solution of Second Order Linear Differential Equation with Constant Coefficients

拉格朗日常数变易法

Lagrange 's method of variation of constants

本文使用全微分法和常数变易法，从不同角度给出伯努利方程通解的公式。

In this paper , the methods of variation of parameters for salving the Vacco dynamical equations are given .

与常数变易法的繁琐计算相比，该公式十分方便快捷。

Thus , the formula given by this article is much easier and quicker than the tedious calculations of the constant variation method .

从一阶线性微分方程结构特点入手，给出了求其通解的常数变易法的数学原理，并简化了积分因子法。

The existence of particular solutions for a class of Riccati equations is studied by means of variation of constants and initial integral methods .

基于拉格朗日常数变易法，给出这类系统全局指数稳定的一个充分条件。

Based on the Lagrange formula with constants variables , some new sufficient conditions for ensuring globally exponential stability of such systems are derived .

通过变量变换，将变系数线性常微分方程化为常系数线性常微分方程，再利用常数变易法给出了一类二阶变系数非齐线性微分方程的通解。

This paper gives the general solutions of the second order inhomogeneous linear differential equation with inconstant coefficients , by the method of the variable transformation .

利用常数变易法讨论了一阶，二阶齐次和非齐次变系数的线性脉冲微分方程的初值问题解的存在性和唯一性，并给出了解的公式。

The existence and uniqueness of solutions of the initial value problems for first and second order variable parameter linear impulsive differential equations are investigated and the corresponding calculation formulae are obtained .

在常微分方程理论的形成过程中，求解一阶微分方程曾出现过许多方法，如分离变量法、变量替换法、常数变易法以及积分因子法等等。

In the process of forming the ordinary differential equation theory , many methods appeared in finding a solution of differential equation of first order , such as the separation of variables , replacement factor , etc.

本文推广了线性微分方程求解的常数变易法，获得便于计算机求解的解析表达式，并提供了一种能满足精度要求的通用程序。

In this paper , we generate the variation of constants for solving linear differential equations , and obtain the analytic formula which is convenient for calculating by computer , also present a general program satisfying the prescribed precision .