两类二阶变系数非齐次方程求解方法

doi:10.3976/j.issn.1002-4026.2017.05.015

Abstract

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

CLC Number:

O175.11

Cite this article

HOU Zhi-wu, ZHANG Lu, ZHU Xue-liang. The discussion of solutions for two classes of second order non-homogeneous equations with variable coefficients[J].SHANDONG SCIENCE, 2017, 30(5): 91-94.

share this article

0
/ / Recommend

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

URL: https://www.sdkx.net/EN/10.3976/j.issn.1002-4026.2017.05.015

https://www.sdkx.net/EN/Y2017/V30/I5/91

References

1］周义仓,靳祯,秦军林.常微分方程及其应用［M］.北京:科学出版社,2003.
［2］韩中庚.数学建模方法及其应用［M］.北京:高等教育出版社,2005.
［3］李鸿祥.两类二阶变系数线性微分方程的求解［J］.高等数学研究,2002,5(2):1013.
［4］许尔伟,李曼生.变系数二阶齐次线性方程在一定条件下的解［J］.甘肃高师学报,2014,19(5):45.
［5］李高，李殊璇，常秀芳.二阶变系数线性微分方程可解的研究［J］.河北北方学院学报（自然科学版）,2013,29(2):12.
［6］张玉兰.二阶变系数线性齐次微分方程的通解［J］.长沙大学学报,2013,27(2):13.
［7］王伟.几类二阶变系数非齐次线性微分方程的通解［J］.新乡学院学报(自然科学版),2013,30(6):408410.
［8］赵临龙.二阶变系数线性微分方程的不变量解法［J］.长沙大学学报,1998 (2):58.

Related Articles 11

[1]	ZHANG Tian-tian, XU Wen-wen, GUO Hong, DU Ming-yang, YU Chang-biao. Stability analysis of first-order linear convection equations with variable coefficients [J]. Shandong Science, 2021, 34(6): 112-118.
[2]	WANG Ming-gao, TANG Qiu-yun. Existence of positive solutions for the nonlinear impulsive differential system boundary value problem [J]. Shandong Science, 2021, 34(2): 114-122.
[3]	CHEN Xing-ru, GU Hai-bo, WANG Xing-zhao, CHEN Yi-ru, MA Li-na. Attractiveness of solutions for Katugampola fractional differential equation [J]. Shandong Science, 2020, 33(6): 103-109.
[4]	TANG Qiu-yun , WANG Ming-gao. Existence and uniqueness of positive solutions for boundary value problems integro-differential equations on infinite interval [J]. Shandong Science, 2020, 33(1): 124-130.
[5]	LI Heng, LI Zheng-jun, HU Ding, YANG Lei. The finite element strength analysis of the ballpoint pen tip in automatic assembly [J]. SHANDONG SCIENCE, 2017, 30(3): 51-57.
[6]	ZHOU Shilei,DONG Xue,DONG Xiaoyu. Existence and multiplicity of positive solutions of secondorder ordinary differential equations [J]. SHANDONG SCIENCE, 2015, 28(6): 116-120.
[7]	ZHANG Xue-Mei, LIU Yan-Sheng. Existence of positive periodic solutions for a n-species competition system with feedback control [J]. J4, 2013, 26(1): 1-5.
[8]	WANG Feng-Su, LIU Yan-Sheng. Existence of the periodic solution of a neutral integro-differential equation with infinite delay [J]. J4, 2012, 25(5): 11-14.
[9]	LI Qian-Qian, LIU Yan-Sheng. Existence of positive periodic solutions of differential equations with parameters [J]. J4, 2011, 24(5): 42-45.
[10]	JI Hong-Wei. Existence of sign changing solutions of a nonlinear operator equation and its application in a Hammerstein integral equation [J]. J4, 2011, 24(3): 13-17.
[11]	ZHANG Mei, TIAN Cong-Cong, LIU Yan-Sheng. Positive Solutions of FirstOrder Singular Impulsive Boundary Value Problem with Integral Boundary Condition in Banach Space [J]. J4, 2010, 23(6): 9-12.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Comments

Recommended 0

No Suggested Reading articles found!

Open Access This article is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0), which permits third parties to freely share (i.e., copy and redistribute the material in any medium or format) and adapt (i.e., remix, transform, or build upon the material) the articles published in this journal, provided that appropriate credit is given, a link to the license is provided, and any changes made are indicated. The material may not be used for commercial purposes. For details of the CC BY-NC 4.0 license, please visit: https://creativecommons.org/licenses/by-nc/4.0

Abstract
References
Related Articles
Metrics
Comments
Recommended

TOP

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

PDF (PC)

Like

Knowledge