常数变易法求解一类四阶常系数非齐次线性微分方程  

On Solving Linear Differential Equations of Order Four with Constant-transform Method

作　　者：鞠晶[1] 

机构地区：[1]鲁东大学数学与信息学院,264025

出　　处：《中国科技信息》2007年第7期266-266,268,共2页China Science and Technology Information

摘　　要：利用常数变易法求解具有实特征根的四阶常系数非齐次线性微分方程,在无需求其特解及基本解组的情况下给出其通解公式,并举例验证公式的适用性。Demonstrated in this paper is how the Constant- transform method,the typical method for solving differential equations of order one, is used in solving linear differential equations of order four.The merit is that the general solution can be found without seeking the typical solution and the basic solutions.

关 键 词：常数变易法 微分方程 通解 

分 类 号：O175[理学—数学]