Apparentely, it works.

Thank you, very much.

Is it posible to solve it numerically?

Thank you for your answers.

In fact, the ics are correct.

The purpose of the excercise is to demonstrate the accuracy of some aproximates solutions using variational methods.

I have an aproximate solution (given by a polinomial equation obtained by variational methods) and I need to compare it with a numeric solution of the original equation, within the range 0 < x < 1. So I need to graph both equations in the same figure. The polinomial is not a problem, but the plot of the ODE's solution is.