2/27(x-3)√((x^2-6x+23)/y)rearrange the equation to make y the subject

This expression has been the subject of a recent differential equation problem.

dy/dx=(2/27)(x-3)√((x^2-6x+23)/y)
in which case we can rearrange as
(√y)dy/dx=(2/27)(x-3)√(x^2-6x+23)

The given expression above is not an equation, so we do not know exactly what the expression equals (dy/dx, 0, 1...?)