SOLVING SOME LINEAR EQUATIONS BY USING ENHANCED THEOREM

In this project, a new fast, efficient, and accurate method is presented to determine the general solution of the second order linear differential equation when the coefficients are variables that are related to each other by another ordinary differential equation. One of the solution methods consists in transforming the second-order differential equation once into a Riccati ordinary differential equation, the latter ODE can be solved without the need to know a particular solution a priori. These solution methods provide tools that allow explaining this type of ODE in a straightforward way in the classroom