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《Journal of Daqing Normal University》 2008-05
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the Initial Problems of Second Order Linear Differential Equation with Variable Coefficient

QIAN Xue-ming(Depaltment of Basis,WuXi professional college of science and technology,WuXi 214028,China)  
The characteristic equation method and method of variation of constant is applied in solving linear differential equation with constant coefficients in ordinary differential equation.Otherwise,existence and uniqueness of solution of linear differential equation with variable coefficient was proved in theory that is no general method to solve it.This paper solves the initial problems of second order linear differential equation with variable coefficient by Laplace transform.
【CateGory Index】: O175.1
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【References】
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1 CAO Feng-lin (Yang En University,Quanzhou Fujian 362014,China);Discussion on the Solution of Second-Order Variable Coefficient Differential Equation[J];Journal of Xiangfan Vocational and Technical College;2012-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 YAO Qing-liu(Department of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210003,China);Solvability of nonlinear fourth-order boundary value problems with two parameters[J];Journal of Anhui University(Natural Sciences);2008-05
2 ZHANG Hai,XIE Xiu-juan(School of Mathematics and Computational Science,Anqing Teachers College,Anqing 246133,China);Existence Conditions of Integrating Factors for First Order Ordinary Differential Equations[J];Journal of Anqing Teachers College(Natural Science Edition);2009-04
3 WU Li-bing,SHA Qiu-fu,JIANG Ben-yuan (Department of Mathematics,School of Science,University of Science and Technology Liaoning,Anshan 114051);Note about Liouville formula of ordinary differential equation[J];Journal of University of Science and Technology Liaoning;2010-01
4 WANG Qian,CHEN Xue-bo (School of Electronics and Information Engineering,University of Science and Technology Liaoning,Anshan 114051,China);Study on present situation for stability of swarm systems and stability determination method for linear time-variable systems[J];Journal of University of Science and Technology Liaoning;2010-05
5 Xu Bo(Math's Department southwert.Guizhou Teacher's college for Nationalities,Xingyi 562400,Guizhou,China);The solution if functional equation through the structure of ordinary differential equation[J];Journal of Anshun University;2009-02
6 GUO Ying-na1 ZHAO Jun2 (Xinxiang No.1 Railway Middle School, Xinxiang 453000,China);Proof of Existence and Uniqueness for the Solution of Integrated Equation[J];Journal of Anyang Institute of Technology;2006-01
7 Wang Xiaojing1,2,Zhang Yan2,Bai Yu2(1.School of Forestry,Beijing Forestry University,Beijing 100083;2.School of Science,BUCEA Beijing 100044);Qualitative Analysis of a kind of Two-Dimension Nonlinear Autonomous System[J];Journal of Beijing University of Civil Engineering and Architecture;2008-04
8 TANG Guang song,FU Xiao lan (Dept.Math.,Jianghan Univ.,Wuhan 430019,Hubei,China);Simplified solution to one kind of nonlinear differential equation set[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2000-04
9 YANG Ji-ming (Dept.Math.,Yuxi Teachers College,Yuxi 653100,Yunnan,China);A formula to solve initial value problem of homogeneous linear differential equations with constant coefficients and its application[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2001-01
10 YANG Ji-ming,CAI Jong-hui (Dept.Math.,Yuxi Teachers College,Yuxi 654100,Yunnan,China);A formula to solve initial value problem of nonhomogeneous linear differential equations with constant coefficients[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2002-01
China Proceedings of conference Full-text Database 1 Hits
1 ZHOU Jun-he,CHEN Jian-ping (The State Key Laboratory on Fiber-Optic Local Area Communication Networks and Advanced Optical Communication Systems,Shanghai Jiao Tong University,Shanghai 200030,P.R.China);A Novel Algorithm to Calculate Raman Amplifier backward Pump Power[A];[C];2003
【Co-references】
Chinese Journal Full-text Database 1 Hits
1 Ding Nan (Department of Mathematics,Chuzhou University,Chuzhou 239000,China);A New Solution to a Class of Second Order Linear Differential Equations with Variable Coefficients[J];Journal of Chuzhou University;2010-05
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 ZHANG Yu-lan(Nanjing Institute of Railway Technology,Nanjing 210015,China);General Solution of a Class of Second Order Linear Differential Equations with Variable Coefficients[J];Journal of Jiamusi University(Natural Science Edition);2013-04
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