山东科学 ›› 2017, Vol. 30 ›› Issue (5): 91-94.doi: 10.3976/j.issn.1002-4026.2017.05.015

• 其他研究论文 • 上一篇    下一篇

两类二阶变系数非齐次方程求解方法

侯致武,张璐,祝学亮   

  1. 延安大学西安创新学院理工系,陕西 西安 710100
  • 收稿日期:2017-01-09 出版日期:2017-10-20 发布日期:2017-10-20
  • 作者简介:侯致武(1985—),男,讲师,硕士,研究方向为金融数学及微分方程教学和研究。E-mail:houzhiwu99@126.com
  • 基金资助:

    陕西省教育厅科学研究计划(自然科学专项)(2013JK0576)

The discussion of solutions for two classes of second order non-homogeneous equations with variable coefficients

HOU Zhi-wu, ZHANG Lu, ZHU Xue-liang   

  1. Department of Science and Technology, Xi'an Innovation College of Yan'an University, Xi'an 710100, China
  • Received:2017-01-09 Online:2017-10-20 Published:2017-10-20

摘要:

使用常系数化法和不变量法对二阶变系数非齐次线性微分方程的求解问题进行了讨论,分析与比较了两种方法的优缺点,并通过具体的例子说明了方法的可行性。

关键词: 微分方程, 非齐次, 求解方法, 变系数

Abstract:

The solutions to some kinds of secondorder non-homogeneous linear differential equations with variable coefficients were discussed by using constant coefficient method and invariant method. The advantages and disadvantages of the two methods were analyzed and compared, and the feasibility of the two methods was illustrated by a concrete example.

Key words: variable coefficients, solutions, non-homogeneous, differential equation

中图分类号: 

  • O175.11

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