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Question: Abel equation solution

Question:Abel equation solution

Hamada 15
November 13 2014
2

Hi,

I am interested to know if Abel equation of the form:

 

y'=a*y^3+(b*x+c)*y^2+d*y+(g*x+f)    where: a,b,c,d,g,f are constants. 

 

is belonging to any solvable classes? I noticed that most of the classes solved in the literature using invariant analysis has a rational coefficients in x and they do not have the full form as the one abov. Any suggestions for this ?

Regards

 

Hamada

 
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