Let $y=y(x)$ be the solution of the differential equation $\left(3 y^{2}-5 x^{2}\right) y \mathrm{~d} x+2 x\left(x^{2}-y^{2}\right) \mathrm{d} y=0$ such that $y(1)=1$. Then $\left|(y(2))^{3}-12 y(2)\right|$ is equal to :

Question

Let $y=y(x)$ be the solution of the differential equation

$\left(3 y^{2}-5 x^{2}\right) y \mathrm{~d} x+2 x\left(x^{2}-y^{2}\right) \mathrm{d} y=0$

such that $y(1)=1$. Then $\left|(y(2))^{3}-12 y(2)\right|$ is equal to :

$16 \sqrt{2}$

$32 \sqrt{2}$

Solution

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