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713 - Partial Differential Equations

Partial differential equations of first order. Linear, Quasi-Linear, Non-Linear. Linear second-order partial differential equations. Characteristics, Classification and Canonical Forms. The wave equation, the heat equation, Laplace's equation. Initial-value problems. Initial - and Boundary - value problems. The Dirichlet, Neumann and Robin problems. Maximum Principle. Separation of variables.

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