Derivation of the 1D Wave Equation

In this video, we derive the 1D wave equation. This partial differential equation (PDE) applies to scenarios such as the vibrations of a continuous string. 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 ( • Introduction to Partia... )
-Standing Waves Demonstration ( • Standing Waves Demonst... )
-Derivation of the 1D Wave Equation ( • Derivation of the 1D W... )
-Solving the 1D Wave Equation ( • Solving the 1D Wave Eq... )
-Heat Transfer Demonstration ( • Heat Transfer Demonstr... )
-Derivation of the Heat Equation ( • Derivation of the Heat... )
-Solving the 1D Heat Equation ( • Solving the 1D Heat Eq... )
-Derivation and Solution of Laplace’s Equation ( • Derivation and Solutio... )
-Derivation of the 2D Wave Equation ( • Derivation of the 2D W... )
-Solving the 2D Wave Equation ( • Solving the 2D Wave Eq... )
-Numerically Solving Partial Differential Equations ( • Numerically Solving Pa... )
Associated videos on software tools relevant to PDEs include:
-Creating Movies and Animations in Mathematica ( • Creating Movies and An... )
-Creating Movies and Animations in Matlab ( • Creating Movies and An... )
You can see all the videos related to partial differential equations at
• Partial Differential E...