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Journal Articles The American Mathematical Monthly Year : 2011

A First Look at Differential Algebra


The object of the paper is to prove that the differential equation u ′ (t) = t − [u(t)] 2 has no solutions which can be written using elementary functions, or anti-derivatives of elementary functions, or exponentials of such anti-derivatives, or anti-derivative

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hal-01297702 , version 1 (04-04-2016)



John H. Hubbard, Benjamin E. Lundell. A First Look at Differential Algebra. The American Mathematical Monthly, 2011, 118 (3), pp.245-261. ⟨10.4169/amer.math.monthly.118.03.245⟩. ⟨hal-01297702⟩
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