The aim of this course is to teach the solution methods of differential equations, to show how to express physical phenomena with systems of differential equations and also to give the application areas in physics.

General notions and definitions in systems of linear differential equations, Cauchy problem, systems of general homogeneous linear differential equations , converting the system of normal differential equations to higher order differential equation , solving ordinary differential equations by series method, solving ordinary differential equations by Laplace method.

Lecture notes and books.

William E. Boyce & Richard C. DiPrima, Elementary Differential Equations 10th edition