| Exam Board | AQA |
| Module | C4 (Core Mathematics 4) |
| Year | 2008 |
| Session | January |
| Topic | Differential equations |
8 Solve the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 3 \cos 3 x } { y }$$
given that \(y = 2\) when \(x = \frac { \pi } { 2 }\). Give your answer in the form \(y ^ { 2 } = \mathrm { f } ( x )\).