Abstract A differential equation of first order can be expressed by the equation of motion of a mechanical system. In this paper, three methods of analytical mechanics, i.e. the Hamilton--Noether method, the Lagrange--Noether method and the Poisson method, are given to solve a differential equation of first order, of which the way may be called the mechanical methodology in mathematics.
Received: 04 March 2005
Revised: 24 July 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10272021) and the
Doctorate Foundation of the State Education Ministry of China (Grant No 20040007022).
Cite this article:
Wu Hui-Bin (吴惠彬), Mei Feng-Xiang (梅凤翔) Methods of analytical mechanics for solving differential equations of first order 2005 Chinese Physics 14 2391
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