Matrix Differential Equation - Solved Example of A Matrix ODE

Solved Example of A Matrix ODE

To solve the matrix ODE's according to the three steps above, using simple matrices in the process, let us find, say, function and function, both in terms of the single underlying variable x, in the following linear differential equation of the first order:

To solve this particular ordinary differential equation, at some point of the solving process, we need an initial value, a starting point. In this case, we use

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