Question: Why is Maple able to solve a simply system of differential equations with classical method but not rkf45?

Here is a worksheet with a system of differential equations

The system is



where g(x) is a random number generator seeded by x. That is, for the same x, g gives the same result. 

Using the classical method as an option to dsolve, a solution is plotted. Using rkf45, however, there is pretty much always an error that says

Warning, cannot evaluate the solution further right of ...

Why does it work with classical but not rkf45?

Please Wait...