Finding particular solution with initial condition

2．The points \(( x , y )\) on the curve \(C\) satisfy $$( x + 1 ) ( x + 2 ) \frac { d y } { d x } = x y$$ The line with equation \(y = 2 x + 5\) is the tangent to \(C\) at a point \(P\) ．
（a）Find the coordinates of \(P\) ．
（b）Find the equation of \(C\) ，giving your answer in the form \(y = \mathrm { f } ( x )\) ．