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From Prof Barooah:

to simulate $$\dot{X} = A(t)X$$ using ODE45, simply write a function that takes t and X as input and computes the vector A(t)X as the output. As an example, say the dynamic model is $$\dot{x} = [\sin(5t)*x_2; -x_1]^T$$, where $$x = [x_1, x_2]^T$$. Then the function you'll have to call using ODE45 to simulate this dynamic model may look like

--- function xdot = f(t,x) x1 = x(1); x2 = x(2);

xdot = [sin(5*t)*x2; -x1]