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A universal differential equation
Article by Lee A. Rubel
In collections: Fun maths facts, Unusual computers
There exists a non trivial fourth-order algebraic differential equation \[P(y',y'',y''',y'''') = 0,\] where \(P\) is a polynomial in four variables, with integer coefficients, such that for any continuous function \(\phi\) on \((-\infty,\infty)\) and for any positive continuous function \(\varepsilon(t)\) on...
URL: projecteuclid.org/euclid.bams/
Entry: read.somethingorotherwhatever.

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@esoterica "With four parameters I can fit an elephant, and with five I can make him wiggle his trunk."---John von Neumann

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