2D wave equation on a stretched membrane — click to pluck
The 2D wave equation ∂²u/∂t² = c²(∂²u/∂x² + ∂²u/∂y²) governs elastic membrane vibrations. Unlike a 1D string, 2D membranes support complex mode shapes (Bessel functions for circular drums) and Chladni patterns. Click anywhere to create a disturbance.