| Exam Board | OCR |
| Module | FP3 (Further Pure Mathematics 3) |
| Year | 2010 |
| Session | January |
| Topic | First order differential equations (integrating factor) |
3 Use the integrating factor method to find the solution of the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } + 2 y = \mathrm { e } ^ { - 3 x }$$
for which \(y = 1\) when \(x = 0\). Express your answer in the form \(y = \mathrm { f } ( x )\).