International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1169 2020 2020 Department of Mathematics, Hindustan Institute of Technology & Science, Chennai-603 103, India. M. .. Department of Mathematics, Hindustan Institute of Technology & Science, Chennai-603 103, India;Department of Mathematics Mohamed Sathak AJ College of Engineering, Chennai-603103,India S. Sudha 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 2022 16 43 10.54216/IJNS.180402 https://www.americaspg.com/articleinfo/21/show/1169