\[\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+\left(\frac{1-a_{1}-a_{2}}{z-%
\alpha}+\frac{1-b_{1}-b_{2}}{z-\beta}+\frac{1-c_{1}-c_{2}}{z-\gamma}\right)%
\frac{\mathrm{d}w}{\mathrm{d}z}+{\left(\frac{(\alpha-\beta)(\alpha-\gamma)a_{1%
}a_{2}}{z-\alpha}+\frac{(\beta-\alpha)(\beta-\gamma)b_{1}b_{2}}{z-\beta}+\frac%
{(\gamma-\alpha)(\gamma-\beta)c_{1}c_{2}}{z-\gamma}\right)\frac{w}{(z-\alpha)(%
z-\beta)(z-\gamma)}=0},\]