Linear difference equations and about solution methods

In this thesis, the solving methods of linear differential equations are focused on, studied and learned. To achieve these, first the meanings, definitions and the basic concepts and theorems of linear differential equations being necessary are given. In general, this thesis focuses on linear homogeneous differential equations, linear non-homogeneous differential equations, linear homogeneous differential equations and linear non- homogeneous differential equations which are at level n are all studied. to find the solution of linear non-homogeneous differential equations, Langrange's "variations of the constants" method has been used. Especially, to study linear homogeneous differential equations which have constant exponents and linear non- homogeneous differential equations which have constant exponents, and to find their solutions, application of z- tranformation method is focused on.