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Robert Moulder

Hi Mohammadreza ,

Assuming you mean

X' = AX + BX

and A and B are constants,

then

X' = X(A+B).

Let A+B = C,

X' = CX.

This is exponential growth/decay.

https://www.khanacademy.org/science/biology/ecology/population-growth-and-regulation/a/exponential-logistic-growth

Is this what you were asking? If not please clarify.

Best,

Robert

Mohammadreza Vahedpour

I appreciate to your response

but I want to know about the application of d/dt(X)=AX+XB

and this equation could be solved by using kronecker product.

Thank you so much.

As I said, I want to know about some systems that have this equation in their nature.