Basic concepts: the definition of differential equations (classified – composition)- Differential equations of the first order and their applications: methods of solving differential equations of the first order.-Differential equations of the first order and their applications: orthogonal paths-Differential equations and higher order and its applications: reduction of the order - methods of solution of linear differential equations of higher order with constant coefficients- Differential equations and higher order and its applications: methods of solution of linear differential equations of higher order with non-constant coefficients- Laplace transform and its applications- Solution of linear differential equations of second order transactions of the type many borders by series-Fourier Series of even and odd functions, Fourier expansion and Fourier integration.