Singular points classification of first order differential equations system not solved for derivatives
Downloads
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
L.V.Pkhakadze and A.A. Shestakov Mathematical collection, 49 (91). №1-2, 1959
T. Hayasi Nonlinear Oscillations in Physical Systems. Publishing house "Mir", М. 1968
Sh.R.Sharipov, N.S.Muminov. Simple differential equations «Teacher», Tashkent, 1992
B. Khusanov, Sh.R.Sharipov, S.Kh. Mamashev. On some questions of trajectories in n-dimensional generalized-homogeneous system. – Izvestia of the Academy of Sciences of the Kaz SSR. Series of Physics - Mathematical Sciences, 1981, №3, P.38-43
In submitting the manuscript to the International Journal on Integrated Education (IJIE), the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal.
- That it is not under consideration for publication elsewhere,
- The publication has been approved by the author(s) and by responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
License and Copyright Agreement
Authors who publish with International Journal on Integrated Education (IJIE) agree to the following terms:
Authors retain copyright and grant the International Journal on Integrated Education (IJIE) right of first publication with the work simultaneously licensed under Creative Commons Attribution License (CC BY 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
