Solve the initial value problem.

$x^2\frac{dy}{dx}=\frac{2x^2-x-4}{(x+1)(y+1)},y(1)=2$

The solution $is$

$(Typean$ implicit solution. Type $an$ equation using $x$ and $yas$ the variables. Use parentheses $to$ clearly denote the argument $of$ each function.$)$