The article proves that effective training of students of the higher technical school in differential equations can be achieved through the development and implementation of a computer-oriented practical training methodology. The methods, forms, and tools of training are described. The use of an educational site and the educational book «Computer-oriented practical exercises on differential equations» is proposed to contribute to the formation of students' abilities to work with ICT, which allow them to develop skills for creating mathematical models, apply procedures for solving differential equations and their systems, and involve software for analyzing and solving certain models. The goals of training were specified, the use of computer-oriented organizational methods and forms of training were proposed when describing the methodology. Implementation of the methodology involves using the developed system of tasks (mathematical, practical, professionally oriented), which promote conscious use of knowledge and skills to apply differential models in students’ future professional activities. The results of the experimental verification of the developed methodology of computer-oriented practical training in differential equations are presented. Indicators of the evaluation of the effectiveness of implementing the developed methodology in the learning process were: levels of mastering certain academic skills by students, levels of forming students’ skills in mathematical modelling and skills necessary for professional activities of future specialists, in particular, their abilities to use information and communication technologies.