| Exam Board | Edexcel |
| Module | AEA (Advanced Extension Award) |
| Year | 2008 |
| Session | June |
| Topic | First order differential equations (integrating factor) |
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 \(y = \mathrm { f } ( x )\) .