Abstract:
In this article new method of constructing general solution of the second order linear ordinary differential
equations with variable coefficients is presented. The general solutions of Airy equation, of the second order
linear ordinary differential equations with variable coefficients and coefficient ex are constructed by this
method. Constructed in explicit form general solutions can be used for solving of the Cauchy problem and of
the two point’s boundary value problems for ordinary differential equations with variable coefficients arising
in solving various applied problems of science.
