| Exam Board | Edexcel |
| Module | FP2 (Further Pure Mathematics 2) |
| Year | 2005 |
| Session | June |
| Topic | First order differential equations (integrating factor) |
Find the general solution of the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } + 2 y \cot 2 x = \sin x , \quad 0 < x < \frac { \pi } { 2 }$$
giving your answer in the form \(y = \mathrm { f } ( x )\).
(Total 7 marks)