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Heat equation / diffusion equation (same thing): parabolic. Wave equation: hyperbolic. Laplace's equation: elliptic. Laplace's equation is the steady state (e
by sampo 8y ago
Heat equation / diffusion equation (same thing): parabolic.
Wave equation: hyperbolic.
Laplace's equation: elliptic. Laplace's equation is the steady state (equilibrium) solution of heat equation when the boundary conditions (or anything) don't change in time.
- kenjackson 8y agoThanks. And yes, Laplace was the third one. I think even your simple categorization would have made things much simpler for me. Or maybe I was just an idiot as an undergrad. :-)