  We look for differential equations satisfied by the generalized Jacobi
polynomials which are orthogonal on the interval [-1,1] with respect to a
weight function consisting of the classical Jacobi weight function together
with point masses at the endpoints of the interval of orthogonality.
  In order to find explicit formulas for the coefficients of these differential
equations we have to solve systems of equations involving derivatives of the
classical Jacobi polynomials.
  We show that these systems of equations have a unique solution which is given
explicitly. This is a consequence of the Jacobi inversion formula which is
proved in this report.
