On multistep methods and solution of ordinary differential equations

In this thesis, different methods for solving ordinary differential equations have been examined, known methods have been defined, previous studies on this subject have been examined and some formulas have been obtained. The analytical solution is the approximate solution of a mathematical problem using mathematical analysis techniques, and the numerical solution is the approximate solution obtained under certain conditions (a certain range of values, etc.) in analytically unsolvable equations. In this thesis, numerical values were obtained. Multistep methods used in numerical solution of ordinary differential equations have been investigated, these methods have been expanded and generalized. The algorithm has been created to facilitate the solution.