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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


singular point classification image integral linear surface equivalent family types focus non-descending parabolic oscillate

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Khusanov Bazar and Kulmirzaeva Gulrabo Abduganievna 2021. Singular points classification of first order differential equations system not solved for derivatives. International Journal on Integrated Education. 4, 3 (Apr. 2021), 448-450. DOI:


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