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Is there any progress in solving Abel ODE of second type:

(y(x)+g(x)) y'(x) = f2(x) y(x)^2+f1(x) y(x)+f0(x)

where the unknown function is y(x) and the other functions are coefficient functions.

In the case I am trying to solve, g(x)=0, and the f's are polynomials of at most second order divided by x.

Any reference to the cutting edge solutions of this type of equation appreciated.

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# More general solutions of Abel ODE, second type ?

**Physics Forums | Science Articles, Homework Help, Discussion**