Let \( y=y(x) \) be the solution of the differential equation \[ \frac{d y}{d x}=\frac{4 y^{3}+2...

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Let \( y=y(x) \) be the solution of the differential equation
\[
\frac{d y}{d x}=\frac{4 y^{3}+2 y x^{2}}{3 x y^{2}+x^{3}}, y(1)=1
\]
If for some \( n \in N, y(2) \in[n-1, n) \), then \( n \) is equal to
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