Riccati equations are the most important class of nonlinear differential equations widely used in various fields. Despite advances in computational methods and computer science, the problem of solving these equations remains significant. This paper examines one class of Riccati equations and examines the accuracy of solutions provided by the computer algebra system (CAS) Maple. Comparative analysis shows that standard Maple tools do not always provide accurate analytical solutions for this class of Riccati equations. This paper proposes an alternative method for solving these equations in integrable quadratures.