How to create a graph network (Networkx) from the solution of Ordinary differential equations?

I have a list of Nodes.

Suppose,
N =[1,2,3,4] # there can be different number of nodes

And I have solved the differential equation which is a relation to anything(let us consider) using odeint

From the solution of the differential equation, I have the relation between C and t

result = odeint(model,C0,t)

Now, assuming the edges are created from the solution of the differential equation between C and t. I want to create a graph network using Networkx.

Is there any way to retrieve edges from the differential equation? So, that I can create a graph network.