ABSTRACT
In this section we want to show how methods of linear algebra can be used to solve linear differential equations and systems of such equations. Let us consider some examples before we turn to the general theory. In section 2 we gave two typical examples of systems of linear equations arising in applications, one from electrical engineering and one from economics. In both cases a static situation was described because all of the quantities occurring in these equations were constant (and not varying with time). We will now see how considering quantities which vary with time leads to systems of linear differential equations.
