Max0526
Apr30-04, 02:22 AM
I need some help with the following 1st order ODE:
x(2x-y)y'=y^2+(x-6)y+9x
This is an Abel type DE of the 2nd kind, class B (Maple 9 classification).
And the only thing I know by now is that {x=0,y=0}, {x=0,y=6} and {x=1/2, y=1} are the solutions.
Any hint, particular or general solution is greatly appreciated.
Max.
x(2x-y)y'=y^2+(x-6)y+9x
This is an Abel type DE of the 2nd kind, class B (Maple 9 classification).
And the only thing I know by now is that {x=0,y=0}, {x=0,y=6} and {x=1/2, y=1} are the solutions.
Any hint, particular or general solution is greatly appreciated.
Max.