公式法求y″+py′+qy=p_m(x)e^(λx)的特解  

Finding the Special Solution of y" + py' + qy = pm(x)eλx by Means of Formula

作　　者：张长春[1] 郭自兰[1] 

机构地区：[1]安阳大学,河南安阳455000

出　　处：《安阳大学学报（综合版）》2003年第3期62-63,共2页

摘　　要：求微分方程y″+py′+qy=p_m(x)e^(λx)的特解y~*,传统的方法比较麻烦。本文为此导出求特解y~*之中多项式待定系数的公式,只需简单计算即可求解。It would be troublesome to use traditional methods to find the special solution y * of the differential equation y'' + py' + qy = pm (x) eλx . In this paper a formula of polynomial undetermined coefficient is deduced for the special solution of y * . Thus only a simple calculation can settle the troublesome problem.

关 键 词：特解 多项式 微分方程 求解 待定系数 公式法 方法比较 传统 计算 

分 类 号：O175[理学—数学] G633.62[理学—基础数学]