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17

ISSAC
2005
Springer

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Algebraic general solutions of algebraic ordinary differential equations

13 years 10 months ago

Algebraic general solutions of algebraic ordinary differential equations

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In this paper, we give a necessary and suﬃcient condition for an algebraic ODE to have an algebraic general solution. For an autonomous ﬁrst order ODE, we give an optimized bound for the degree of its algebraic general solutions and a polynomial-time algorithm to compute an algebraic general solution if it exists.

J. M. Aroca, J. Cano, Ruyong Feng, Xiao-Shan Gao

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Added	28 Jun 2010
Updated	28 Jun 2010
Type	Conference
Year	2005
Where	ISSAC
Authors	J. M. Aroca, J. Cano, Ruyong Feng, Xiao-Shan Gao

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