| Exam Board | Edexcel |
| Module | PMT Mocks (PMT Mocks) |
| Topic | Differential equations |
10. Given that \(y = 8\) at \(x = 1\), solve the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { ( 12 x + 9 ) y ^ { \frac { 1 } { 3 } } } { x }$$
Giving your answer in the form \(y ^ { 2 } = \mathrm { f } ( x )\).