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YT 9 minutes 7 seconds Faculty of Khan Introduction to Partial Differential Equations: Definitions/Terminology YT 8 minutes 17 seconds Faculty of Khan Introduction to PDEs: Solutions and Auxiliary Conditions YT 7 minutes 9 seconds Faculty of Khan Introducing Parabolic PDEs (1-D Heat/Diffusion Eqn): Intuition and Maximum Principle

YT 11 minutes 9 seconds Faculty of Khan Solving the 1-D Heat/Diffusion PDE by Separation of Variables (Part 1/2) YT 10 minutes 51 seconds Faculty of Khan Solving the 1-D Heat/Diffusion PDE by Separation of Variables (Part 2/2) YT 7 minutes 25 seconds Faculty of Khan Solving the 1-D Heat/Diffusion PDE: Nonhomogenous Boundary Conditions

YT 6 minutes 53 seconds Faculty of Khan Solving the 1-D Heat/Diffusion PDE: General Nonhomogenous Boundary Conditions YT 8 minutes 45 seconds Faculty of Khan Solving the 1-D Heat/Diffusion PDE: Nonhomogenous PDE and Eigenfunction Expansions YT 12 minutes 3 seconds Faculty of Khan Laplace Transforms for Partial Differential Equations (PDEs)

YT 14 minutes 11 seconds Faculty of Khan Fourier Transforms in Partial Differential Equations YT 12 minutes 33 seconds Faculty of Khan Duhamel's Principle for Partial Differential Equations YT 7 minutes 30 seconds Faculty of Khan Solving the Heat Equation with Convection | Partial Differential Equations

YT 10 minutes 34 seconds Faculty of Khan Introducing the Wave Equation: Derivation and Intuition YT 13 minutes 5 seconds Faculty of Khan General Solution to the Wave Equation (via Transport Equation) | (1/2) YT 6 minutes 27 seconds Faculty of Khan General Solution to the Wave Equation (via Change of Variables) | (2/2)

YT 9 minutes 6 seconds Faculty of Khan D'Alembert Solution to the Wave Equation YT 11 minutes 3 seconds Faculty of Khan How to Solve the Wave Equation for a Finite Domain | Part 1/2 | Partial Differential Equations YT 13 minutes 27 seconds Faculty of Khan Wave Equation Solution for a Finite Domain: Standing Waves | Part 2/2

YT 12 minutes 44 seconds Faculty of Khan How to Solve a 4th Order Partial Differential Equation | Vibrating Beam Part 1/2 YT 12 minutes 17 seconds Faculty of Khan How to Solve a 4th Order Partial Differential Equation | Vibrating Beam Part 2/2 YT 11 minutes 35 seconds Faculty of Khan Introducing Green's Functions for Partial Differential Equations (PDEs)