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Singular points classification of first order differential equations system not solved for derivatives

Khusanov BazarAssociate Professor of the “Higher mathematics” department of the Samarkand architecture and civil engineering institute, Samarkand, UzbekistanKulmirzaeva Gulrabo Abduganievnasenior techer of the “Higher mathematics” department of the Samarkand architecture and civil engineering institute, Samarkand, Uzbekistan
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The article considers the singular system points’ classification of first-order differential equations that are not resolved with respect to derivatives. By displaying using some ratios that considered integral curves locations by special point in space taking into account the mutually located integral parabolas we obtain the corresponding pictures of the integral curves location by the singular system point. The types of singular equation points can be classified according the characteristic equation roots type, which we call a saddle, node, focus, center, or saddle focus

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