摘要
对于二阶常系数非齐次线性微分方程 y″ +py′ + qy =f(x) ,当 f(x) =Pn(x)eαx或 f(x) =eλxPn(x)cosωx+euxsinβx时 ,本文给出了求特解的简易方法 ,并且这种方法易于在计算机上进行编程计算。因此 。
This paper is devoted to provide a formule of finding a special solution of differential equation\{ y″+py′+qy\}=f(x) with f(x) taking the following forms f(x)=P n(x)e\+ αx or f(x)=e λx P n(x) cos wx+\{e ux P m(x) sin βx\}. This method is easy to calculate with computer.
出处
《河南科学》
2000年第4期339-343,共5页
Henan Science
关键词
特解
简易方法
二阶常系数非齐次线性微分方程
differential equation
a special solution
a simple method
calculate with computer
