Questions related with integration of ordinary differential equations and systems are considered in the manual. The manual consists of 11 sections, which contain brief theoretical information, examples of assignments and collections of tasks on the topics under consideration. Texts are written in parallel in English and Russian languages. The manual is intended for university students enrolled in the bachelor degree programs «Economics» and «Management», as well as «Business Informatics», «Commerce», «Commodity», «State and Municipal Management», «Personnel Management», etc. The manual can be used both for teaching Russian students and foreign students who speak English.