2009Journal of Beijing Union UniversityRequires access

The Formula of General Solution for Second Order Linear Differential Equation with Constant Coefficients

Wang Chao-wang

Open publisher page 0 citations

Abstract

In order to obtain more general solution of second order linear differential equation with constant coefficients,which is important in theory and practice,on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant,the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.Examples are given to verify the method.

About this research paper

What this paper is about

In order to obtain more general solution of second order linear differential equation with constant coefficients,which is important in theory and practice,on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant,the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.Examples are given to verify the method.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In order to obtain more general solution of second order linear differential equation with constant coefficients,which is important in theory and practice,on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant,the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.Examples are given to verify the method.

Key concepts: Linear differential equation, Constant coefficients, Mathematics, Homogeneous differential equation, Constant (computer programming), Differential equation, Mathematical analysis, First-order partial differential equation

Related papers

Back to paper searchBrowse research topicsOriginal source
The Formula of General Solution for Second Order Linear Differential Equation with Constant Coefficients — Research Paper | ScholarLens