This book is the most complete reference on accurate solutions of linear ordinary differential equations. It contains about 2000 differential equations of the second, third and higher orders. Particular attention is paid to general equations, the coefficients of which depend on arbitrary functions. The remaining equations contain one or more free parameters (their values ​ ​ can be arbitrarily fixed at the discretion of the reader). Some exact solutions of equations found in various fields of theoretical physics and mechanics are given. A number of sections also list asymptotic solutions.