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A Polynomial Time Algorithm to Find Rational General Solutions of First Order Autonomous ODEs
Rational general solution rst order autonomous ODE rational parameterizations Laurent series Pade approximants polynomial time algorithm
2004/11/9
We give a necessary and su±cient condition for an algebraic ODE to have a rational type general solution. For a ˉrst order autonomous ODE F = 0, we give an exact degree bound for its rational solution...