The equation of a curve is such that \(\frac{dy}{dx} = 3x^{\frac{1}{2}} - 3x^{-\frac{1}{2}}\). The curve passes through the point \((3, 5)\).

(a) Find the equation of the curve.

(b) Find the \(x\)-coordinate of the stationary point.

(c) State the set of values of \(x\) for which \(y\) increases as \(x\) increases.