喀什师范学院学报
喀什師範學院學報
객십사범학원학보
JOURNAL OF KASHGAR TEACHERS COLLEGE
2009年
3期
4-8
,共5页
变系数四阶线性微分方程%自变量变换%可积类型%通解
變繫數四階線性微分方程%自變量變換%可積類型%通解
변계수사계선성미분방정%자변량변환%가적류형%통해
Second order linear differential equation with variable coefficients%Self-variable transformation%New solv-able type%General solution
通过自变量变换,将一类变系数变系数四阶线性微分方程化为四阶常系数线性微分方程,从而得到变系数四阶线性微分方程的一个新的可解类型,推广了著名的四阶Euler方程.
通過自變量變換,將一類變繫數變繫數四階線性微分方程化為四階常繫數線性微分方程,從而得到變繫數四階線性微分方程的一箇新的可解類型,推廣瞭著名的四階Euler方程.
통과자변량변환,장일류변계수변계수사계선성미분방정화위사계상계수선성미분방정,종이득도변계수사계선성미분방정적일개신적가해류형,추엄료저명적사계Euler방정.
A kind of linear differential equation with variable coefficients is turned into fourth order constant coefficient linear differential equation with self-variable transformation of unknown function, and then a new solvable type of fourth order linear differential equation with variable coefficients is obtained. Thus, the famous fourth order Euler equation is expanded.
