I need to find the equation of the curve that satisfies the differential equation dy/dx = y / x(x-1) and passes through the point (1,2)

To start i worked out that

1/y dy/dx = 1 / x(x-1)

i tried to integrate and got

lny = ln x(x-1) but i am not sure if that is right or what else to do

thanks (Itwasntme)