eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2018-07-27 6 4 116 119 10.12691/tjant-6-4-2 TJANT2018642 article Feng Qi qifeng618@gmail.com, 1 2 3 Bai-Ni Guo 4 Institute of Mathematics, Henan Polytechnic University, Jiaozuo, Henan, 454010, China School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, Henan, 454010, China In the paper, in terms of the Stirling numbers of the first and second kinds, by three approaches, the author derives simple, meaningful, and significant forms for coefficients in two families of nonlinear ordinary differential equations. http://pubs.sciepub.com/tjant/6/4/2/tjant-6-4-2.pdf coefficient nonlinear ordinary differential equation Stirling number derivative polynomial