一类二阶变系数线性微分方程的可积定理及其应用  

Integrable Therom of One Class Second-order Change Coefficient Linear Differential Equations and It's Application

作　　者：敏志奇[1] 

机构地区：[1]甘肃民族师范学院数学系,甘肃合作747000

出　　处：《甘肃高师学报》2010年第2期6-7,共2页Journal of Gansu Normal Colleges

摘　　要：在文[1]与文[2]的启示下,对微分方程y″+a(x)y′+b(x)y=(fx)通解的求法作了进一步探讨,并给出了只与方程系数a(x)与b(x)相关的求解公式,应用此公式求有关的方程通解,其过程十分简捷.According to apocalypse from papers [1] and [2], in this paper, the author considers the method of finding the general solution of the differential equations Y″a（x）y＇＋b（x）y=f（x） and gives formula of the general solution only with coefficient b （x） and a （x） of the differential equations. The process of using the formula to find the general solution of such differential equations is forthright.

关 键 词：二阶变系数线性微分方程 通解 

分 类 号：O175.08[理学—数学]