en عمومى General پژوهشي Research paper <br> <div style="text-align: left;"></div> <p>In the paper, the authors view some ordinary differential equations and their solutions from the angle of (the 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.</p> Viewpoint, Ordinary differential equation, Solution, Derivative polynomial, Identity, Stirling numbers, Bernoulli number, Bernoulli polynomial, Frobenius-Euler polynomial 77 95 http://ijmsi.ir/browse.php?a_code=A-10-1807-1&slc_lang=en&sid=1 B. -N. Guo bai.ni.guo@hotmail.com 10031947532846008124 10031947532846008124 No Henan Polytechnic University F. Qi qifeng618@gmail.com 10031947532846008125 10031947532846008125 Yes Tianjin Polytechnic University