Given:

x'=-(1+0.1sin(10t))*x+1

https://www.wolframalpha.com/input/?i=x%27%3D-%281%2B0.1sin%2810t%29%29*x%2B1

I need to linearize this non-autonomous differential equation at the equilibrium point (which, according to numerical simulations, is present).

I am familiar with the usual approaches through the Jacobi matrix, but how to use this tool in the case of non-autonomous equations is not clear.

Dear Maple specialists, I ask for help. I would be grateful for your advice and support.

It seems to me that only HAM can help.

I ask for help if someone has already mastered.

There are no developments, as I do not own the NOPH package.