Let $y=y(x)$ be the solution curve of the differential equation $ \frac{dy}{dx}+\left(\frac{2x^{2}+11x+13}{x^{3}+6x^{2}+11x+6}\right)y=\frac{x+3}{x+1},\quad x>-1, $ which passes through the point $(0,1)$. Then $y(1)$ is equal to: