Non-autonomous system (mathematics)

Okay kiddo, let me tell you about non-autonomous system in mathematics.

Do you know what a system is? It means a group of things that work together. In math, this group of things might be equations or functions that describe how something changes over time.

Now, let's think about an autonomous system first. This means that the equations or functions that are in the system don't depend on time. They stay the same and don't change over time. It's just like a toy car moving along a track in the same way every time.

But when we talk about non-autonomous system, it means that the equations or functions in the system change over time. It's like the toy car changing speeds or directions as it moves along the track.

To make it more clear, let's take an example of a simple non-autonomous system. Imagine a ball moving across the ground. The ball's position at any given time depends on the force or push acting on it. If the force changes over time, then the way the ball moves will also change. This is a non-autonomous system because the movement of the ball depends on time and the force acting on it can change.

So, in summary, a non-autonomous system in math means a group of equations or functions whose behavior changes with time. Just like the ball movement change with force acting on it.