In the field of multimedia art design, the combination of computer graphics and mathematical modeling provides new possibilities for artistic creation. Differential equations, as an important mathematical tool for describing the continuous process of change, are widely used in computer graphics to simulate natural phenomena, optimize artistic expression and enhance interactive experience. In this paper, we study the application of computer graphics based on differential equations in multimedia art design, analyze its advantages in dynamic picture generation, geometric deformation and physical simulation, and explore the practical application of this method in education and teaching. By constructing the corresponding curriculum system and teaching experiment platform, it promotes students’ understanding and application of mathematical models in art design and improves the technical level of art creation. The study shows that the multimedia art design method integrating differential equations and computer graphics can enhance the expressiveness and intelligence level of art works, and has good teaching value and promotion prospects in the field of education.
