POLYTECHNIC BULLETIN
Series Intelligence, Innovation, Investment
ISSN 2520-2235

Jabborov Mustafo Abdurozikovich

Annotation:

The paper investigates a class of nonlinear systems of four differential equations in the space 𝓍, 𝓎, 𝓏. By replacing the derivative of an unknown function on the right side and equalizing the mixed derivatives of the first two equations and the last two equations of the system, new equations appear. Based on the new equations obtained this system will be transformed into a quasi-system. The next time system is replaced, it will be more complete and a task with initial data will be inserted. In particular, to the system in full differentials.

Keywords: the condition of jointness, the system of total differential, overrides the system, the diversity of solutions.