This paper presents a didactic proposal designed through the active methodology of collaborative learning to analyse the effect of the use of numerical simulation of a mathematical model on the learning of differential equations in engineering students. A mathematical model of a vibrating string was used, and the Octave Online platform was used for the numerical simulation. The analysis and assessment of this proposal were carried out in a hybrid, quantitative and qualitative manner, through the design of observation and measurement instruments. The results indicate that, in science, technology, engineering and mathematics programmes, the use of numerical simulation in a collaborative learning environment strengthens student learning and fosters the development of disciplinary and soft skills.