8 The variables \(x\) and \(y\) are related by the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { 5 } x y ^ { \frac { 1 } { 2 } } \sin \left( \frac { 1 } { 3 } x \right)$$
- Find the general solution, giving \(y\) in terms of \(x\).
- Given that \(y = 100\) when \(x = 0\), find the value of \(y\) when \(x = 25\).