V. K. Ivanov
Baltic State Technical University "Voenmech" named for D.F. Ustinov,
198005, 1-ya Krasnoarmeiskaya 1, Saint-Petersburg, Russia
The paper presents a method for obtaining an approximate solution in quadratures of some types of linear ordinary differential equations of the second order with nonconstant coefficients. A solution is constructed on finite intervals or in a vicinity of given points. As an example, the hypergeometric Gaussian equation and the Bessel equation are considered.