| Exam Board | Edexcel |
| Module | F2 (Further Pure Mathematics 2) |
| Year | 2021 |
| Session | January |
| Topic | Second order differential equations |
6. (a) Determine the general solution of the differential equation
$$\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } } + 2 \frac { \mathrm {~d} y } { \mathrm {~d} x } + 5 y = 6 \cos x$$
(b) Find the particular solution for which \(y = 0\) and \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 0\) at \(x = 0\)