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math-ph2002★ 1 cited
The rational generalized integrating factors for first-order ODEs
Yu. N. Kosovtsov
We describe a solving semi-decision method based on examination of the rational structures of the generalized integrating factors of first-order ODEs. We propose a conjecture that…
math-ph2002★ 2 cited
The structure of general solutions and integrability conditions for rational first-order ODE's
Yu. N. Kosovtsov
In present paper we propose an approach based on examination of the structure of the general solution of equations of the type dy/dx=P(x,y)/Q(x,y), with P and Q polynomials only in…
math-ph2002
The introduction to the operator method for solving differential equations.First-order DE
Yu. N. Kosovtsov
We introduce basic aspects of new operator method, which is very suitable for practical solving differential equations of various types. The main advantage of the method is reveale…