(i) Using partial fractions, find \(\int \frac{1}{y(4-y)} \, dy\).

(ii) Given that \(y = 1\) when \(x = 0\), solve the differential equation \(\frac{dy}{dx} = y(4-y)\), obtaining an expression for \(y\) in terms of \(x\).

(iii) State what happens to the value of \(y\) if \(x\) becomes very large and positive.