| PROPERTIES OF HOMOGENEOUS FUNCTION AND ITS APPLICATIONS |
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| 作者姓名： | Bai Renlun |
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| 作者单位： | Bai Renlun |
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| 摘 要： | 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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| 关 键 词： | homogeneous function total differential total differentlal equation |
PROPERTIES OF HOMOGENEOUS FUNCTION AND ITS APPLICATIONS |
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| Bai Renlun.PROPERTIES OF HOMOGENEOUS FUNCTION AND ITS APPLICATIONS[J].Storage & Process,1988(4). |
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| Authors: | Bai Renlun |
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| 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. |
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| Keywords: | homogeneous function total differential total differentlal equation |
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