Dynamics, the study of motion and forces, intertwines deeply with Partial Differential Equations (PDEs). PDEs describe how quantities vary over space and time, making them crucial for modeling dynamic systems. Newton's second law, F=ma, when applied to continuous media, leads to PDEs like the wave equation (vibrations), heat equation (diffusion), and Navier-Stokes equations (fluid flow). These equations capture the evolution of physical quantities, such as displacement, temperature, and velocity, under the influence of forces and boundary conditions. Solving these PDEs, often numerically, provides insights into the behavior of complex dynamic systems, from vibrating structures to weather patterns.