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V9-12: PDE classification, method of characteristic, examples. Elementary Differential Equations
V9-11: D'Alembert's solution for wave equation, example, remarks, characteristics. Elem. Diff. Eqns.
V9-10: D'Alembert's solution for wave equation, derivation. Elementary Differential equations
V9_9_bonus: Another derivation for the solution of the Laplace equation in a rectangle. Elem. PDEs
V9-9: Laplace Equation in rectangle, Dirichlet boundary conditions, derivation of formal solution.
V9-8: Wave equation solutions: modes, discussions on waves, example. Elem Differential Equations
V9-7: Wave equation in 1D, derivation of formal solutions, Elementary Differential Equations.
V9-6: Separation of variable, discussion and examples. Elementary Differential Equations .
V9-5: Heat equation with non-homogenous boundary conditions, Elementary Differential equations.
V9-4: Heat equation w/ Neumann boundary condition. Steady States. Elementary Differential Equations
V9-3: Heat equation, solution properties, faster damping of high frequencies. Elementary Diff Eqns
V9-2: 1D Heat equation, derivation of formal solution with Fourier series. Elementary Diff Equations
V9-1: Basic concepts of PDEs (Partial Differential Equations). Elementary Differential Equation
Golden fluffy kitty doing Cha Cha slide dance
It's Always Playtime for the Kittens.
V8-12: Eigenvalue problems: 3rd example + a fun one with a joke. Elementary Differential equations
V8-11: Eigenvalue problems example with Neumann Boundary Conditions; Elementary Differential eqns
Kittens Grooming and Falling Asleep
V8-10: Eigenvalue problem, first example, eigenfunctions. Elementary differential Equations.
V8-9: Two-point boundary value problem, introduction and examples. Elementary Differential Equations
Kitten admiring himself in the mirror
Yuan Yuan The Cat The Spinner
V8-8: Properties of Fourier series, linearity and convergence. Elementary Differential Equations
V8-7: Half Range Extensions, Fourier sin/cosine series, Elementary Differential equations