This article highlights the solution to the problem of building a dynamic mathematical model and its research. The analysis of the processes taking place in the hydraulic drive of the transfer of the wide-grip agricultural unit from the transport position to the working position was performed. Search and analysis of already existing hydraulic systems, principles of building mathematical models and methods of their solution were carried out. It is shown that one of the directions of development of the market of modern agricultural aggregates is an increase in the number of structures with an increased width of grip. It should be noted that this design feature has several advantages from the point of view of fuel economy, reduction of the number of passes of the unit and, as a result, reduction of the amount of compacted soil. Which, in turn, contributes to the preservation of its condition and increases the efficiency of its use. The disadvantage of wide-grip units is the difficulty of maneuvering when turning. Therefore, to ensure quick maneuvering, units of this type must be equipped with an effective system for transferring the machine from the transport position to the working position. A hydraulic drive is used to meet this requirement. This type of drive has a number of advantages - compactness, power, the ability to work at high speeds and the ability to dampen vibrations. The scheme of the hydraulic drive for transferring the wide-grip unit from the transport position to the working position with gradual switching on of the hydraulic motors is proposed. A mathematical model of the hydraulic drive has been developed. The composition of the proposed mathematical model includes the balance equations of the amount of liquid, the equations of forces and moments acting on the working bodies of hydraulic motors. The obtained solutions of this system make it possible to conduct a thorough analysis of the processes taking place in the hydraulic drive, and to identify such ratios of hydraulic drive parameters that ensure high-quality operation of the system.