How to improve the solution of a two differential equations system?

[-MFra-]

Hello everyone,
how do i get the same solutions of the system in two differential equations, changing the odesolve algorithm since they vary as it changes? It's possible?

I thank you all.

Greetings.

[ttokoro]

The shape is depend on TOL= 10-1 to 10-7. Prime 7.

[AlanStevens · Accepted solution]

If you do a little rescaling you find the result is independent of the algorithm.

[-MFra-]

Your results are the same as those obtained with the "Fixed" or "Adaptive" algorithms so I choose one of the two without changing anything. Anyway, thank you very much for the helpful advice.