First-order partial differential equations with variable coefficients in the class of separately differentiable functions(in Ukrainian)

Author
V. I. Myronyk, V. V. Mykhaylyuk
Yuriy Fedkovych Chernivtsi National University
Abstract
Let $\alpha$ be a function, which have a primitive on $\mathbb{R}$. It is obtained a general solutions of differential equation $\frac{\partial f}{\partial x}(x,y)+\alpha (x)\frac{\partial f}{\partial y}(x,y)=0$ in the class of separately differentiable functions.
Keywords
separately differentiable functions; partial differential equations
Reference
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Pages
33-37
Volume
42
Issue
1
Year
2014
Journal
Matematychni Studii
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