- (a) Find \(\int x ^ { 2 } \cos 2 x d x\)
(b) Hence solve the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} t } = \left( \frac { t \cos t } { y } \right) ^ { 2 }$$
giving your answer in the form \(y ^ { n } = \mathrm { f } ( t )\) where \(n\) is an integer.