COMPUTER MATHEMATICS TOOLS AS A TOOL IN THE STUDY OF DIFFERENTIAL EQUATIONS

The paper investigates the effectiveness of using computer mathematics tools in the process of studying differential equations in higher education institutions. Emphasis is placed on the role of computer modeling, visualization, and numerical problem solving as tools for improving the quality of students' mathematical training. Particular attention is paid to the Python programming language and its libraries (NumPy, SciPy, SymPy, Matplotlib), which provide broad opportunities for implementing mathematical models. In modern conditions of education development, the need for a deeper understanding of the subject material through active interaction with it comes to the fore. Studying the course of differential equations is traditionally associated with difficulties for students, because it often requires not only analytical abilities, but also spatial representation, modeling skills, and understanding of the applied essence of problems. In this context, the tools of computer mathematics play an important role: they make it possible to move from abstract reasoning to a visual computer experiment, thereby contributing to a deeper assimilation of the material.