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《Journal of Qufu Normal University(Natural Science)》 2010-04
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A Riccati Equation Approach to Second-order Linear Differential Equation with Variable Coefficients

MIN Zhi-qi(Department of Mathematics,Gansu Normal University for Nationalities,747000,Hezuo,Gansu,PRC)  
This paper is concerned with the solving of second-order ordinary differential equation.Using the corresponding Riccati equation,the general solutions which relate the coefficients are established.
【CateGory Index】: O175.1
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 ZHANG Xue-yuan(Dept of Math and Phy, Hunan Institute of Engineering, Xiangtan411104);A New Solvable Type of Second Order Linear DifferentialEquation with Variable Coefficients[J];;2003-01
2 LI Dong-hui,PENG Pei-rang(Department of Math,Henan Institute of Education,Zhengzhou 450014,China);A New Solvable Type of Second Order Linear Differential Equation with Variable Coefficients[J];Journal of Henan Institute of Education(Natural Science Edition);2006-02
3 Ji Zhifei Wulumuqi Army College Culture Faculty Working Office Lecturer,Wulumuqi 830002,China;May Accumulate the Type about Two Steps Uneven Sublinear Variable Coefficient Differential Equation[J];Communication on Applied Mathematics and Computation;2006-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Zhang Liansheng 1 Wang Qinlong 2 (1 Department of mathematics and Physics, Beijing Institute of Petro-chemical Technology, Beijing 102617; 2 School of Mathematics Science and Computing Technology, Central South University, Changsha 410083);Solutions for Several Classes of Linear Ordinary Differential Equations with Variable Coefficients[J];Journal of Beijing Institufe of Petrochemical Technology;2003-04
2 HU Jin-song~1, ZHENG Ke-long~2 (1.Dept. of Mathematics, Xihua University, Chengdu 610039, Sichuan China; 2.College of Science, Southwest University of Science and Technology, Mianyang 621002 Sichuan China);One Simplified Method to Get Solution of Euler Equation of Order 2[J];College Mathematies;2005-02
3 QUAN Da-xue,ZHAO Lin-long(Department of Mathematics,Ankang College,Ankang Shaanxi 725000,China);A Again Research on New Integral Form for the Second Order Linear Differential Equation with Variable Coefficients[J];College Mathematics;2007-03
4 SHANG De-sheng(Department of Mathematics,School of Science,Shandong University of Technology,Zibo,Shandong 255049,China);A Kind of Linear Differential Equations with Variable Coefficents and Its Solutions[J];College Mathematics;2009-03
5 LIU Wen-wu(Mathematics Department of Qiannan Normal College of Nationalities,Duyun 558000,China);The Solution of the Integrable Second Linear Differential Equation with Varied Coefficient[J];Journal of Bijie University;2010-04
6 MIN Zhi-qi(Department of Mathematics,Gansu Normal University for Nationalities,Hezuo Gansu 747000);Integrable Therom of One Class Second-order Change Coefficient Linear Differential Equations and It's Application[J];Journal of Gansu Normal Colleges;2010-02
7 HU Jin-song (School of Mathematics and Computer Engineering of Xihua University,Chengdu,Sichuan 610039,China);Solving One-Order Homogeneous Differential Equation of Higher Degree[J];College Mathematics;2010-04
8 LIU Ying (Shenyang Institute of Aeronautical Engineering,Liaoning Shenyang 110034);Elementary integration method for A kind of differential equation[J];Journal of Shenyang Institute of Aeronautcal Engineering;2004-05
9 LI Dong-hui,PENG Pei-rang(Department of Math,Henan Institute of Education,Zhengzhou 450014,China);A New Solvable Type of Second Order Linear Differential Equation with Variable Coefficients[J];Journal of Henan Institute of Education(Natural Science Edition);2006-02
10 Hu Ailian,Song Aili(Department of Mathematics,Kashi Teachers’ College,Kashi 844000,Xinjiang China);A New Solvable Type of Second Order Linear Differential Equation with Variable Coefficients[J];Henan Science;2008-11
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 ZHANG Xue-yuan(Dept of Math and Phy, Hunan Institute of Engineering, Xiangtan411104);A New Solvable Type of Second Order Linear DifferentialEquation with Variable Coefficients[J];;2003-01
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