This paper is an extension of [1] Abarca,M2019. The basis of the theory is introduced in such paper, consequently it is needed to know it before to read this one. In this paper Dark gravitation theory is applied in the outskirt of disk region, whereas in the previous paper the theory was applied only for radius bigger than 40 kpc, where it is supposed that baryonic density is negligible regarding dark gravitation density. The Differential Equation for Gravitational Field, hereafter DEfGF, inside the halo region is a Bernoulli equation which has analytical solution, whereas inside the disk region where baryonic density is not negligible the differential equation has to be solved numerically. This differential equation is a Chinis type one. To sum up, when DEfGF is studied only inside the halo region it is got a Bernoulli differential equation whose solution is analytical. When the dominion of DEfGF is extended to the disk and halo then it is got a type Chinis differential equation whose solution is numerical. In this paper will be introduced and solved numerically by Matlab software the differential equation for field in disk region for radius 26 kpc up to 200, 30 kpc up to 200 , 35 kpc up to 200. These results will be compared with the analytical solution of field got in previous paper. In order to do a good comparison, firstly it will be compared the solutions of Bernoulli differential equation inside the halo dominion 40 to 200 kpc: The analytical and the numerical solution got by Runge-Kutta method. The results show that relative difference is about 2/10000. Which is a magnificent agreement. Secondly it will be compared the Bernoulli differential equation and the Chinis diff. equation in the halo region 40 to 200 kpc. The relative difference is about 2/1000. As it was expected the difference is negligible because it was known that for radius bigger than 40 kpc the baryonic density is negligible. Afterwards it will be solved the Chinis diff. Equation at different initial condition, 26, 30, 35 and 40 kpc and these results will be compared with results of Chinis diff. Equation from 40 to 200 kpc. It will be shown that field got throughout the dominion is always lower that field got at 40 kpc as initial condition. Furthermore, it will be show that the lower is the radius as initial condition the bigger will be the difference between both solutions. Finally it will be shown the two possibilities to increase the field solution of Chinis equation at radius 35, 30 and 26 kpc to get the same value of field that Chinis equation at 40 kpc. It will be justified that a light increase in the factor responsible of dark gravitation matter is the most plausible solution.