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《Journal of Shantou University(Natural Science Edition)》 2007-03
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General Solutions to One Kind of Systems of Second-order Ordinary Differential Equation

WU You-ming1,2,WANG Xiang-dong1,YUE Zhu-feng2(1.Department of Mathematics,Foshan University,Foshan 528000,Guangdong,China; 2.Department of Applied Mechanics,Northwestern Polytechnical University,Xi'an 710072,China)  
By reducing order and using Euler's eigenvalue method,the general solution formula to one kind of three-dimensional second-order ordinary differential equation groups with constant coefficients is obtained.The methods used in this paper are compared with the method using Laplacian transform with examples.It is illustrated that using general solution formula to solve the high-order differential equation groups is more concise than other methods in accuracy,clarity and practicability.
【Fund】: 国家自然科学基金资助项目(No:50375124 10472094)
【CateGory Index】: O175
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【References】
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【Co-references】
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1 TANG Shuo(School of Science,Hefei University of Technology,Hefei,230009,China);Primary Solution to Common Modulus Linearity Non-homogeneous Differential Coefficient Equation Groups[J];Journal of Anhui Institute of Education;2005-06
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