Let $\mathrm{y}=\mathrm{f}\left(\mathrm{x}\right)$ be the solution of the differential equation $y(x+1)dx-x^{2}dy=0, y\left(1\right)=e$. Then $\underset{x\to 0^{+}}{\lim }f\left(x\right)$ is equal to

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