Precise estimates of the walk speed of solutions of second-order linear systems

We consider some classes of nonautonomous second-order systems of differential equations whose coefficients are bounded by a given constant $M$, in particular, diagonal systems, triangular systems, and systems corresponding to a single equation. It is shown that the walk speeds of solutions of various systems from these classes fill up a certain interval, and precise estimates are obtained for the length of that interval in terms of the value of $M$.