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Asymptotic behaviour of $y'= \sqrt{-a/y^2+by^2-cy^4+d}$ at x=infinity ?

Boundary condition is given by $y'(\infty)=0$

I can find the solution numerically but I cant find the asymptotic behaviour analytically, any help ?

ODE
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  • You mean you have to find it analytically in terms of $a,b,c,d$? Warning: it's going to get messy! – Oscar Lanzi Apr 22 '21 at 19:22
  • yes that would be preferable, at least is it possible to know the leading behaviour? like x^(?) ? – ODE Apr 22 '21 at 19:46

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