In this manuscript we consider the ordinary neutrosophic differential equations of first order through neutrosophic numbers are summarized. We also defined and explained the neutrosophic number and their \(( \rho , \sigma , \tau )\) —cut. The numerical example is shown here for the goal of illustrating the usefulness and efficacy of the differential equation that involves neutrosophic numbers with the intention of proving its utilization. In order to demonstrate the usefulness and effectiveness of the differential equation that involves neutrosophic numbers, a numerical example is presented here. This action is taken in order to bring the conversation to a close. The outcomes highlight the potential of the proposed approach in accurately modeling complex systems with uncertain dynamics, surpassing the limitations of traditional deterministic and fuzzy models.
