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Lec 2 : Introduction to Partial Differential equations
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Contents:
00:02:50 - General discussion of the difference between ODE and PDE
00:08:05 - Vector field
00:15:15 - Integral curve
00:26:37 - Integral surfaces
00:30:20 - First integral
00:31:15 - Linear first order PDE
00:39:40 - Quasi-linear first order PDE
00:41:15 - Implicit function theorem
00:58:15 - Classification of second order PDE
01:05:15 - Hyperbolic PDE
01:24:14 - Parabolic PDE
01:31:33 - Elliptic PDE
01:34:33 - General overview of hyperbolic, parabolic and elliptic PDEs
00:02:50 - General discussion of the difference between ODE and PDE
00:08:05 - Vector field
00:15:15 - Integral curve
00:26:37 - Integral surfaces
00:30:20 - First integral
00:31:15 - Linear first order PDE
00:39:40 - Quasi-linear first order PDE
00:41:15 - Implicit function theorem
00:58:15 - Classification of second order PDE
01:05:15 - Hyperbolic PDE
01:24:14 - Parabolic PDE
01:31:33 - Elliptic PDE
01:34:33 - General overview of hyperbolic, parabolic and elliptic PDEs
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