If \( y=y(x) \) is the solution of the differential equation \( 2 x^{2} \frac{d y}{d x}-2 x y+3 ...

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If \( y=y(x) \) is the solution of the differential equation \( 2 x^{2} \frac{d y}{d x}-2 x y+3 y^{2}=0 \) such that \( y(e)=\frac{e}{3} \), then \( y(1) \) is equal to
(a) \( \frac{1}{3} \)
(b) \( \frac{2}{3} \)
(c) \( \frac{3}{2} \)
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