一般条件下微分方程通解的研究  

Study of General Solution of General Differential Equation

作　　者：马龙友[1] 吕大昭[1] 

机构地区：[1]北京建筑工程学院基础部,北京100044

出　　处：《北京建筑工程学院学报》2004年第3期59-62,共4页Journal of Beijing Institute of Civil Engineering and Architecture

摘　　要：研究在一般条件下n阶常系数非齐次线性微分方程通解的求法 ,推广了通常只对二阶常系数非齐次线性微分方程在特殊条件下求通解的方法。应用该方法 ,可求出在实际中出现的问题所需要的通解。A method of constructing general solution of general nonhomogenous linear differential equation of the n-th order with constant coefficients is presented and, the method of constructing general solution of nonhomogrnous linear differential of only the second order with constant coefficients is extenided. By using our method, the general solution needed of the questions of reality is got.

关 键 词：特征方程 特征根 通解 

分 类 号：O241.8[理学—计算数学]