Partial Differential Equations
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What are Partial Differential Equations?
The Law of Superposition
The Heat Equation
The Heat Equation with Non-Homogenous Boundary Conditions
The Non-Homogenous Heat Equation
The Fourier and Laplace Transforms for Solving the Heat Equation
The Wave Equation
Laplace's Equation
Method of Characteristics
Non-Linear First Order PDE
Calculus of Variations
Perturbation Theory