Obtaining an analytical solution of first-order differential equations with ChatGPT

ChatGPT is a part of the artificial intelligence developed by OpenAI, which was officially launched in 2022. It is a tool that enables interactive conversations and provides explanations, guidance and information across various fields related to everyday life, education and professional work. On the other hand, differential equations are deeply connected to nature and the laws of physics, playing an essential role in the mathematical modelling of real-world phenomena. Therefore, in this paper we analyse ChatGPT’s capability to solve first-order ordinary differential equations, with a focus on obtaining accurate analytical solutions. Our analysis includes the following types of equations: equations with separable variables, linear differential equations, Bernoulli differential equations, and other nonlinear differential equations. Our goal is to assess the accuracy and applicability of ChatGPT in solving this type of mathematical problem through the analysis of various examples.