5. (a) Find \(\int \frac { 9 x + 6 } { x } \mathrm {~d} x , x > 0\).
(b) Given that \(y = 8\) at \(x = 1\), solve the differential equation $$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { ( 9 x + 6 ) y ^ { \frac { 1 } { 3 } } } { x }$$ giving your answer in the form \(y ^ { 2 } = \mathrm { g } ( x )\). \section*{LU}