differential equations – Transforming ParametricFunction in the expression according to the parameter

Following the resolution of an ODE system using ParametricNDSolveValue I get 4 functions, each one ParametricFunction according to the parameter specified in ParametricNDSolveValue.

Even if what I want seems to me "simple", I have browsed the documentation and this site without success. Here is my question:

Can I transform my solution ParametricFunction in an expression of some kind? Motivation manipulates this expression, which can involve different software.

If this is not possible, is there any other way Mathematica to solve a $ 2 times $ 2 ODE system at a point with a free parameter? Here is the question where I first asked the question about it.