Nonlinear

• I don’t really understand (blu3mo)
  • I thought it was about something that is not in the form of $y=ax$, but it seems different.
  • Well, maybe I’m right.
  • Yes, you’re right (takker)

Explanation of the difference between “linear” and “nonlinear” in mathematics and science | Hobby University Mathematics

• It seems like the discussion about whether some kind of Differential equations is linear or not is what I have been looking at.
  • It was mentioned in Creating and Running ALife and other places.
  • I understand.
• If it is linear, it can be expressed in the form of $y=Ax$ using matrices, so we can apply the knowledge of Linear algebra.
• If it is nonlinear, we cannot do that, so finding the solution becomes quite difficult.
  • Therefore, in most cases, we approximate the nonlinear function to a linear function using Taylor expansion and solve it.