| Exam Board | Edexcel |
| Module | FP2 (Further Pure Mathematics 2) |
| Year | 2018 |
| Session | June |
| Topic | Second order differential equations |
6. (a) Find the general solution of the differential equation
$$6 \frac { \mathrm {~d} ^ { 2 } y } { \mathrm {~d} x ^ { 2 } } + 5 \frac { \mathrm {~d} y } { \mathrm {~d} x } - 6 y = x - 6 x ^ { 2 }$$
(b) Find the particular solution for which \(y = 0\) and \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 3 } { 2 }\) when \(x = 0\)