Popis: |
In this paper, from the expanded class of the second-order linear differential equations, a subclass of the second-order linear differential equations will be obtained. For this subclass, a new condition for reductability according to Frobenius, as well as explicit formulas of its particular solution will be received. This subclass of the second-order linear differential equations and its particular solution, for obtaining a particular solution of the special case of the fourth-order shortened Lorenz system which was obtained from the Modified Lorenz system will be applied. |