JEE Math Practice Question

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

1. A.$$\frac{1}{2}$$
2. B.$$\frac{3}{2}$$
3. C.$$\frac{5}{2}$$
4. D.$$\frac{7}{2}$$