The integration theory of linear ordinary differential equations

Is the only book that solves this problem. The idea of laying open the author the lack of a mathematical algorithm integration. Another idea that helped to solve this problem was the introduction of the concept of n - image of the original differential equation, i.e. an equation that not only contains all solutions of the original differential equation, but in which it appears arbitrary parameter n. This is on par with the well-known notion of the conjugate equation, and determining the formula for computing an indefinite integral, to allow the operation of integrating the given equation of arbitrary order with arbitrary variable coefficients. The book presents not only the integration algorithm, but also many practical examples. Also presented is written in the language Mapl program to compute the partial solutions of differential equations of arbitrary order in the computer. Is intended for researchers, students, mathematical and technical Sciences, and also for high school students mathematical schools.