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

Author 
vadmyron@gmail.com, vmykhaylyuk@ukr.net
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 
3337

Volume 
42

Issue 
1

Year 
2014

Journal 
Matematychni Studii

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