Derivation of the 2D Wave Equation

In this video we derive the 2D wave equation. This partial differential equation governs the motion of waves in a plane and is applicable for thin vibrating membranes. This video focuses on the derivation of the governing PDE only, other videos in this series discuss how to solve this PDE.

Additional videos in this series:
-Introduction to Partial Differential Equations (https://youtu.be/THjaxvPBGOU)
-Standing Waves Demonstration (https://youtu.be/42WBuhVJ7sA)
-Derivation of the 1D Wave Equation (https://youtu.be/IAut5Y-Ns7g)
-Solving the 1D Wave Equation (https://youtu.be/lMRnTd8yLeY)
-Heat Transfer Demonstration (https://youtu.be/FsLFZT44l48)
-Derivation of the Heat Equation (https://youtu.be/ixsRJPlO_rc)
-Solving the 1D Heat Equation (https://youtu.be/I3jiMhVGmcg)
-Derivation and Solution of Laplace’s Equation (https://youtu.be/GCESkCyZt4g)
-Derivation of the 2D Wave Equation (https://youtu.be/KAS7JBztw8E)
-Solving the 2D Wave Equation (https://youtu.be/Whp6jolTu34)

Associated videos on software tools relevant to PDEs include:
-Creating Movies and Animations in Mathematica (https://youtu.be/S03e6dwM100)
-Creating Movies and Animations in Matlab(https://youtu.be/3I1_5M7Okqo)

Видео Derivation of the 2D Wave Equation канала Christopher Lum