Factorization of the universal $\mathcal R $-matrix for ${U_q(\widehat{sl}_2)} $

The factorization of the universal $\mathcal R$-matrix corresponding to the so-called Drinfeld Hopf structure is described in the example of the quantum affine algebra $U_q(\widehat{sl}_2)$. As a result of the factorization procedure, we deduce certain differential equations on the factors of the universal $\mathcal R$-matrix that allow uniquely constructing these factors in the integral form.