Find the general solution, if possible. Otherwise find a relation that defines the solutions implicitly:
xy' - y = 2y (ln y - ln x)© BrainMass Inc. brainmass.com February 24, 2021, 2:19 pm ad1c9bdddf
xy' - y = 2y(ln y - ln x)
put, y = vx
y' = dy/dx = v + x dv/dx
xv + x^2 ...
This shows how to find the general solution of a differential equation.