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Question

Let $y=y(x)$ be the solution of the differential equation $(x^2-3y^2)dx+3xy~dy=0,y(1)=1$. Then $6y^2(e)$ is equal to

$\frac{3}{2}\mathrm{e}^2$
$3\mathrm{e}^2$
$\mathrm{e}^2$
$2\mathrm{e}^2$

Solution

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