How to analyze the following non-linear ODE asymptotically,

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$y\frac{\text{d}^2y}{\text{d}x^2}-2\left(\frac{\text{d}y}{\text{d}x}\right)^2+xy^3\frac{\text{d}y}{\text{d}x}=0.$

I want to analyze the above non-linear ODE asymptotically. Do you have an idea?