二阶常系数线性微分方程

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

二阶常系数线性微分方程可用常规方法待定系数法求解。

The method of undetermined coefficients is the general method of solving a linear differential equation with constant coefficients of the second order .

运用代换、乘因子和变上限积分，给出二阶常系数线性微分方程的综合解法，以及此综合解法在求解更高阶常系数线性方程中的运用。

Using substitution , multiplying factors and integration to demonstrate the synthetical solution of constant coefficient linear differential equation of second order , as well as the application of the synthesis solution in solving the higher order ones are given .

本文通过利用未知函数的线性变换和自变量变换，将一类变系数线性微分方程化成二阶常系数线性微分方程，从而得到变系数二阶线性微分方程的一个新的可解类型。

In this paper , a kind of linear differential equation with variable coefficients is turned into second order linear differential equation with constant coefficients through linear and self-variable transformation of unknown function , then a new solvable type of second order linear differential equation with variable coefficients is obtained .

二阶常系数齐次线性微分方程边值问题的解的相似结构

The Similar Structure of Solution of Second-order Linear Homogeneous Differential Equation with Constant Coefficients on the Boundary Value Problem

求二阶常系数齐次线性微分方程的通解新讲线性常系数非齐次微分方程的特解公式

New Method Solves Second-oder Homogeneous Line Differential Equations with Constant Coefficients A Formula for Finding Particular Solutions of Ordinary Differential Equation

利用算子法求解二阶常系数非齐次线性微分方程

Nonhomogeneous linear ordinary differential equation with constant coefficients solving based on operator method

具有重特征根的一类二阶常系数线性非齐次微分方程的变量代换解法

Solving the Constant Coefficient Non-homogenous Quadratic Linear Differential Equations with Repeated Characteristic Roots by Variable Replacement

关于二阶常系数线性齐次常微分方程的通解的一个注记

A Note on the General Solution to a Two-order Homogeneous Linear Ordinary Differential Equation with Constant Coefficients

本文给出了一个二阶常系数线性非齐次微分方程的特解公式。

This paper deals with the formula of particular solution to 2-order linear inhomogeneous differential equation with constant coefficients .

二阶常系数线性双曲型偏微分方程组的对顶点定理及其应用

The Opposite Vertex Theorems of Second Order Linear Partial Differential System of Hyperbolic Type with Constant Coefficients and Their Applications

通过利用韦达定理对二阶常系数非齐次线性微分方程进行降阶，导出了简便、统一的通解公式。

By using the theory of Veda , the run size of second order non-homogeneous linear differential equation with constant coefficients can be lowered and a forthright and integrated formula can be deduced .

通过寻求积分因子f1（x），f2（x），求解一类二阶线性微分方程，包括二阶常系数线性微分方程和二阶Euler方程。

By looking for the integral factor f_1 ( x ), f_2 ( x ), we can get the general solution of a kind of second order linear differential equation , including second order linear differential equation with constant coefficients and second order Euler differential equation .