| Exam Board | AQA |
| Module | FP3 (Further Pure Mathematics 3) |
| Year | 2008 |
| Session | January |
| Topic | First order differential equations (integrating factor) |
5 By using an integrating factor, find the solution of the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } + \frac { 4 x } { x ^ { 2 } + 1 } y = x$$
given that \(y = 1\) when \(x = 0\). Give your answer in the form \(y = \mathrm { f } ( x )\).