Depression of Order for Two Order Linear Differential Equation with Constant Coefifcients
LU Yi-ping
QIAN Chun-lin
Abstract：Depression of order for two order linear differential equation with constant coefficients is considered. First of all,the characteristic equation of linear differential equation with constant coefficients is written,and two characteristic roots are obtained,and then the differential equation is multiplied by the integral factor and operatied with derivative,the two order linear differential equation with constant coefficients is changed into the first-order differential form,and finally the first-order differential form is integrated.The two order linear differential equation becomes the linear differential equation of first order,solving first-order linear differential equations,and special or general solution of the differential equations can be obtained.The method is simple, convenient and very useful in practice.
Keywords：two order linear differential equation with constant coefficientsdepression of ordercharacteristic rootfirst-order differential form
Publication Date：2014-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：4( 49-52 )