Computer facilitation in understanding some notions in ordinary differential equations

Modern technology might facilitate a deep understanding of notions which are basic for future progress in learning and professional activity. In particular, it concerns such advanced areas as differential equations, where in many cases one needs a lot of time to produce instructive examples explicating ideas such as direction fields and the sensibility to initial conditions. In this paper we reported the effective and attractive use of two computer programs (DERIVE and WinPlot) in the understanding of these two notions in differential equations of the form y’=f(x,y) stating the relation between variables x and y=y(x) related to the rectangular coordinate system Oxy.