Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials.

In the paper, the authors view some ordinary differential equations and their solutions from the angle of (generalized) derivative polynomials and simplify some known identities for the Bernoulli numbers and polynomials, the Frobenius–Euler polynomials, the Euler numbers and polynomials, in terms of the Stirling numbers of the first and second kinds [ABSTRACT FROM AUTHOR]