Matrix Method for the Linear Differential Equation with Constant Coefifcients
ZHAO Xiao-su
QIAN Chun-lin
Abstract：The paper addresses matrix method for the linear differential equation with constant coefficients. First of all,the system of the first order linear differential is the linear differential equation with constant coefficients transformed into the first order linear differential group,and presented by matrix,and then eigenvalue and eigenvector of the matrix,is obtained while the matrix is transformed into simplified matrix. Finally,the solution of the linear differential equation is achieved using the matrix multiplication. It is found that this method provides an easier and more useful solution to the linear differential equation with constant coefficients.
Keywords：linear differential equation with constant coefficientsmatrixeigenvalueeigenvectorgeneral solutionspecial solution
Publication Date：2015-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 44-49 )