6 A certain curve is such that its gradient at a general point with coordinates \(( x , y )\) is proportional to \(\frac { y ^ { 2 } } { x }\). The curve passes through the points with coordinates \(( 1,1 )\) and (e, 2). By setting up and solving a differential equation, find the equation of the curve, expressing \(y\) in terms of \(x\).