ON THE FINDING OF SOLUTIONS FOR SEVERAL CLASSES OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

Li Hong-xiang

Acta Mathematicae Applicatae Sinica ›› 1983, Vol. 6 ›› Issue (1) : 29-33.

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中国科学院数学与系统科学研究院期刊网
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Acta Mathematicae Applicatae Sinica ›› 1983, Vol. 6 ›› Issue (1) : 29-33. DOI: 10.12387/C1983005

ON THE FINDING OF SOLUTIONS FOR SEVERAL CLASSES OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

  • Li Hong-xiang
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Abstract

In 1,two methods for solving the second order homogeneous linear ordinary differential equation with variable coefficients
y"=(bG-G'/G)y'+cG2y=0
are given,which are different from the one in [4].

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Li Hong-xiang. ON THE FINDING OF SOLUTIONS FOR SEVERAL CLASSES OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS. Acta Mathematicae Applicatae Sinica, 1983, 6(1): 29-33 https://doi.org/10.12387/C1983005

References

[1] 得丸英胜,振动论,コロナ社,东京,1973
[2] 黄宏嘉,缓变系数法,数学学报,11(1961),238-247.
[3] 黄宏嘉,电子学中的若干微分方程问题,数学学报,11(1961),76-85.
[4] 李鸿祥,常微分方程的一些新的可积类型,数学的实践与认识,(1980)第1期,46-51.
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