Advanced topics to be added to my textbook "A Practical Course in Differential Equations and Mathematical Modelling".
This volume is dedicated to the memory of my teacher and friend Lev Vasilyevich Ovsyannikov (22.04.1919{23.05.2014).
Volume V contains preprints written during 2008-2014 as advanced topics to be added to the textbook. They include, e.g. a discussion of a wide class of linear ordinary differential equations whose integration is reducible to solution of algebraic equations. This class contains the constant coefficient equations and Eulers equations as particular cases. The recent method of nonlinear self-adjointness for constructing conservations laws associated with symmetries of partial differential equations is also presented in this volume.