aspg-21-1169-1791474922 20261008155522 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2022 18 4 M. Lathamaheswari Department of Mathematics, Hindustan Institute of Technology & Science, Chennai-603 103, India. S. Sudha Department of Mathematics, Hindustan Institute of Technology & Science, Chennai-603 103, India;Department of Mathematics Mohamed Sathak AJ College of Engineering, Chennai-603103,India Neutrosophic set plays a vital role in dealing with indeterminacy in real-world problems. Differential equations represent the relation between a function and its derivatives and its applications have importance in both pedagogical and real life. In this paper, neutrosophic differential equation is proposed and solved using bipolar trapezoidal neutrosophic number and applied the concept in predicting bacterial reproduction over separate bodies with graphical representation using MATLAB. Also, comparative analysis is done with the existing method to prove the effectiveness of the proposed method. 2022 16 43 1169 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.180402 https://www.americaspg.com/journal/21/article/1169 https://www.americaspg.com/storage/7261.pdf