Differential Equations

Let a curve \(y=y(x)\) pass through the point \((3,3)\) and the area of the region under this curve, above the \(x\)-axis and between the abscissae 3 and \(x(>3)\) be \(\left(\frac{y}{x}\right)^{3}\). If this curve also passes through the point \((\alpha, 6 \sqrt{10})\) in the first quadrant, then \(\alpha\) is equal to ___________.