求二阶常系数线性微分方程的几种方法  

Solutions to Linear Differential Equation of Second Order with Constant Coefficient

作　　者：葛丽萍[1] 

机构地区：[1]黑河学院数学系,黑龙江黑河164300

出　　处：《黑河学院学报》2011年第4期115-116,共2页Journal of Heihe University

摘　　要：二阶常系数线性微分方程在工程技术中有着广泛的应用,因此它的解法也显得尤为重要。通过分析二阶常系数线性微分方程应用特征方程求解的方法,并列举两种求二阶常系数线性非齐次微分方程通解的积分公式,有望使计算得到简化。Linear Differential Equation of Second Order with Constant Coefficient is widely used in engineering technology, so the solutions to it seem very important. This paper expects to simplify the calculation by means of analyzing the solving methods of Differential Equation of Second Order with Constant Coefficient used in characteristic equation.By enumerating the integral formula of general solution to the Linear Differential Equation of Second Order with Constant Coefficient,the paper looks forward to simplifying to calculation.

关 键 词：二阶常系数线性微分方程 特解 通解 

分 类 号：O13[理学—数学]