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Classifying PDEs | Partial Differential Equations (PDEs) Episode 2
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00:00 Intro
00:10 Video 1 Problem Solution
00:22 What does 'Order' mean?
02:30 General Form for Second-Order Linear PDEs
03:42 Homogeneous vs Inhomogeneous PDEs
04:30 Defining Semilinear PDEs
05:40 General Form for First Order Semilinear PDEs
06:27 Defining Quasilinear PDEs
07:33 Non-linear PDEs
08:24 Hyperbolic, Parabolic, Elliptic PDEs
10:25 Example of a Hyperbolic PDE
12:02 Example of a Parabolic PDE
13:13 Example of an Elliptic PDE
14:15 Summary of Video Content
14:52 Extension Work (Tricomi's Equation)
16:38 Outro
If you would like to see more content like this or you have any recommendations please leave a comment down below with what you'd like to see! Thanks for watching!
Note
If any mistakes are made please let me know in the comments down below, I'm only human and will endeavour to be correct as much as I can!
00:10 Video 1 Problem Solution
00:22 What does 'Order' mean?
02:30 General Form for Second-Order Linear PDEs
03:42 Homogeneous vs Inhomogeneous PDEs
04:30 Defining Semilinear PDEs
05:40 General Form for First Order Semilinear PDEs
06:27 Defining Quasilinear PDEs
07:33 Non-linear PDEs
08:24 Hyperbolic, Parabolic, Elliptic PDEs
10:25 Example of a Hyperbolic PDE
12:02 Example of a Parabolic PDE
13:13 Example of an Elliptic PDE
14:15 Summary of Video Content
14:52 Extension Work (Tricomi's Equation)
16:38 Outro
If you would like to see more content like this or you have any recommendations please leave a comment down below with what you'd like to see! Thanks for watching!
Note
If any mistakes are made please let me know in the comments down below, I'm only human and will endeavour to be correct as much as I can!