求解二阶常系数线性微分方程的若干方法  

Several Methods for Solving Linear Differential Equations of Second Order Constant Coefficients

作　　者：徐薇薇 

机构地区：[1]天津市河东区职工大学,天津300171

出　　处：《天津职业院校联合学报》2014年第12期74-76,共3页Journal of Tianjin Vocational Institutes

摘　　要：在科学研究、工程技术中,常常需要将某些实际问题转化为二阶常微分方程问题,因此研究不同类型的二阶常微分方程的求解方法具有十分重要的意义。介绍二阶常系数线性方程的若干种求解方法,包括多项式法、升阶法、积分法、微分算子法等等。这为我们今后进一步研究常微分方程提供了基础。In the science research ,engineering technology ,it is often necessary to transform some practical issues into second order ordinary differential equation ,so the method for solving second order ordinary differential equations of different types is of great significance .Introduce several calculation methods for second order constant coefficient linear equations ,including polynomial ,ascending order , integral method ,differential operator method ,etc .This provides the basis for our further study of ordi‐nary differential equations in the future .

关 键 词：二阶常系数线性微分方程 多项式法 升阶法 

分 类 号：O175.1[理学—数学]