| Exam Board | Edexcel |
| Module | F2 (Further Pure Mathematics 2) |
| Year | 2021 |
| Session | June |
| Topic | Second order differential equations |
6. (a) Find the general solution of the differential equation
$$\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } } - 6 \frac { \mathrm {~d} y } { \mathrm {~d} x } + 8 y = 2 x ^ { 2 } + x$$
(b) Find the particular solution of this differential equation for which \(y = 1\) and
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = 0 \text { when } x = 0$$