This paper proves some properties of homogeneous function. Mainly, it proves that a sufficient condition of a parahomogeneous function is a subhomogeneous function. From which the relations of homogeneous function and partial derivatives of its respective variables are obtained. By these properties, this paper finally solves spcial first order total differential equations and obtains the quadrature of total differential of some function with n-variables. The obtained method of solution is simpler than usual one.
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白任伦.齐次函数的一些性质及其应用[J].土木与环境工程学报(中英文),1988,10(4). Bai Renlun. PROPERTIES OF HOMOGENEOUS FUNCTION AND ITS APPLICATIONS[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,1988,10(4).10.11835/j. issn.1674-4764.1988.04.012