DSolve[Derivative[1][y][x] == (1 + y[x] - 3*Log[x]*y[x] - 2*Log[x]*y[x]^2 + 3*Log[x]^2*y[x]^2 + y[x]^3 + Log[x]^2*y[x]^3 - Log[x]^3*y[x]^3)/(x*y[x]),y[x],x]