| Exam Board | WJEC |
|---|
| Module | Further Unit 4 (Further Unit 4) |
|---|
| Year | 2022 |
|---|
| Session | June |
|---|
| Topic | Second order differential equations |
|---|
12. Find the solution of the differential equation
$$3 \frac { \mathrm {~d} ^ { 2 } y } { \mathrm {~d} x ^ { 2 } } + 5 \frac { \mathrm {~d} y } { \mathrm {~d} x } - 2 y = 8 + 6 x - 2 x ^ { 2 }$$
where \(y = 6\) and \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 5\) when \(x = 0\).