摘要
探讨变量替换法在二阶常系数非齐次微分方程方程求解中的应用。针对二阶常系数非齐次微分方程,直接将二阶常系数线性非齐次微分方程降阶为2个一阶线性非齐次微分方程来进行求解,不需要考虑非齐次项的具体函数形式。该方法是求解二阶常系数非齐次微分方程的另一种有效途径,且更具一般性。
This paper discusses the application of variable substitution method in solving second-order non-homogeneous differential equations with constant coefficients. For the second-order non-homogeneous differential equations with constant coefficients,variable substitution method can turn it into two one-order linear non-homogeneous differential equations and solve it without considering the exact form of the nonhomogeneous term.This method is another effective way to solve the second-order non-homogeneous differential equation with constant coefficients,and it is more general.
作者
汪雄良
聂芬
WANG Xiong-liang;NIE Fen(College of Liberal Arts and Science,National University of Defense Technology,Changsha,Hunan 410072,China)
出处
《教育教学论坛》
2020年第15期277-278,共2页
Education And Teaching Forum
基金
国防科技大学本科教育教学研究课题(U2018004)。
关键词
二阶常系数非齐次微分方程
变量替换
应用
second-order non-homogeneous differential equations with constant coefficients
variable substitution
application
