How to solve differential equations in matrices and get answers in matrices?

I am tasked at solving the problems below for my maths class at college. However, I cannot for the life of me figure out how to run them in matlab and get the answer in similar matrix form as requested? I do not know if this is because of a lack of knowledge of the software or if my paper answers are wrong? Any and all help would be extremely appreciated. I've checked the mathworks page for differential equations in matrices, but it just won't get me the answer I need.

[bio lim]

Can you you show us what you have tried so far?

Answer 1

[Tamir Suliman]

https://www.mathworks.com/help/matlab/math/choose-an-ode-solver.html First you will have to find the model of the system you trying to solve

what alogrithm or type of solution mathematical u trying to model juding by the look of it it looks like there going to be some iteration and substitution to find the values

check those links about differential equations solving on Matlab https://www.mathworks.com/help/symbolic/solve-a-single-differential-equation.html

https://www.mathworks.com/help/matlab/math/choose-an-ode-solver.html

[bio lim]

Have you checked those links? Assuming you are taking a linear systems or an undergraduate controls class, the above links should be enough to help you solve your problems, or at least, help you to start. First, you have to try to solve it by yourself and present us what you have tried so far even if it is incorrect. The contributors are not here to do your homework, but to assist and help you to understand what went wrong with your problem.