JEE Math Practice Question

Let the solution curve $$y=y(x)$$ of the differential equation $$ \frac{\mathrm{d} y}{\mathrm{~d} x}-\frac{3 x^{5} \tan ^{-1}\left(x^{3}\right)}{\left(1+x^{6}\right)^{3 / 2}} y=2 x \exp \left\{\frac{x^{3}-\tan ^{-1} x^{3}}{\sqrt{\left(1+x^{6}\right)}}\right\} \text { pass through the origin. Then } y(1) \text { is equal to : } $$

1. A.$$\exp \left(\frac{1-\pi}{4 \sqrt{2}}\right)$$
2. B.$$\exp \left(\frac{4-\pi}{4 \sqrt{2}}\right)$$
3. C.$$\exp \left(\frac{4+\pi}{4 \sqrt{2}}\right)$$
4. D.$$\exp \left(\frac{\pi-4}{4 \sqrt{2}}\right)$$