PROPERTIES OF HOMOGENEOUS FUNCTION AND ITS APPLICATIONS
Bai Renlun
DOI:10.11835/j.issn.1674-4764.1988.04.012
Received ,Revised , Accepted , Available online July 01, 2015
Volume ,1988,Pages -
- Abstract
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.