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Question: Abel's Equation ?

Question:Abel's Equation ?

Ironmoon 112 Maple
June 10 2008
0

Dear  Maple World members,

 

I have a problem and I do not know how to solve this equation with Maple. If anyone can help me, that will a huge gift for me :)

{ [ dy/d(t) ]  / [ dx/d(t) ] } = e*[  ( a + b* y(t) + c* x(t) + d* x(t)* y(t)+ f *y(t)^2 )  / ( a + b*x(t) + c*y(t) + d* x(t)*y(t) + f* x(t)^2 ) ]

initial conditions :

at   t = 0,   x(0) = Xo, y(0) = Yo

 

in order to write very correctly, I used many brankets :))))))  and have not made any simpilification as ( dy/dx ) to show the nature of the problem :)

Maple 11 has said me that it could be Abel's 2 type equation. But I have no idea about solution of such an equation.

Thank you very much for the all who want to deal with this problem...

 

Greets

AA

Germany

 
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