The mathematics teacher of the Department of "Natural Sciences" Bayzakova Zh. S. held an open lesson on the topic: "Linear differential equations of the highest order". The open lesson was attended by the head of the Department of "Natural Science Disciplines" Muzdybayeva Sh.A. and a qualified specialist in mathematics Uteglaieva F.U. During the lesson, linear differential equations of the nth order, first- and higher-order equations, systems of equations, elements of stability theory, first-order equations with independent derivatives and the basics of integral Laplace transformations were presented. The teacher was able to convey to the students the main theoretical tasks with the help of examples, exercises. The open lesson was held at the highest level. Everyone was interested.