| Exam Board | OCR |
| Module | FP3 (Further Pure Mathematics 3) |
| Year | 2013 |
| Session | June |
| Topic | Second order differential equations |
5 Find the solution of the differential equation \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } } + 2 \frac { \mathrm {~d} y } { \mathrm {~d} x } + 5 y = \mathrm { e } ^ { - x }\) for which \(y = \frac { \mathrm { d } y } { \mathrm {~d} x } = 0\) when \(x = 0\).