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The movement of a ball on each shape (triangular, parabolic, Norton's-domic) will be modeled with its own differential equation. Some of these differential equations will have one and only one solution (given the boundary conditions).

One of these differential equations has an infinite number of solutions--even given the boundary conditions :-)

Best way to really understand this is to roll up your sleeves and spend an afternoon setting up and solving the various differential equations.




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