Global Journal of Management and Business Research, B: Economics and Commerce, Volume 21 Issue 5

Source: the authors’ development Figure 9: Time scan of the development of the “spiral galaxy” of the reflective consciousness of a student in the direction of the intellectually autonomous personality Below the authors represent a differential model of the student's educational trajectory Let the variable x(t) characterize the level of the student's ability to independently process scientific and educational information that comes from the teacher. It is necessary to characterize its focus on the student's effective perception of the variable y(t) . Under these assumptions, it is possible to construct a system of differential equations (1), which, in the first approximation, would satisfactorily reflect the rates of supply and processing of information by the teacher and student, respectively. ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) dy t x t y t x y dt dx t y t x t x y dt  = + + −    = − + + −  2 2 2 2 1 1 (1) Uncertainty of the Post-Covid Future: How will Humanity Solve this Puzzle? © 2021 Global Journals 62 Global Journal of Management and Business Research Volume XXI Issue V Version I Year 2021 ( ) B