[en] Systems of singular integral equations in the problem of deuteron desintegration by nucleons are considered in the case of a separable particle interaction potential. A method is proposed to single out the root singularity of the solution and to transform the equations into new equations with respect to a function not containing the root type singularities. This obtained integral equations are solved numerically by the collocation method, for which the convergence and stability are proved. The cross sections and scattering amplitudes of the deuteron desintegration by a neutron have been calculated at different projectile energies in the range from 7 to 65 MeV. The data obtained are consistent with the calculations conducted elsewhere