Construction of a universal ordinary differential equation C^(infty) of order 3
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🧮 math.CA
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equationuniversaldifferentialinftyorderordinaryaccuracyapproximated
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A universal ordinary differential equation $C^{\infty}$ of order 3 is constructed here. The equation is universal in the sense that any continuous function on a real segment can be approximated by a solution of this equation with an arbitrary accuracy in uniform norm.
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