Differential equations with piecewise constant argument

Differential equations with piecewise constant argument describe various phenomena, e.g., in biology, mechanics and electronics. Here we study a special case of these equations, namely, the equation of the form u'=F([t],u([t]))+g(t), where [t] stands for the greatest integer function and F a g are continuous functions. Our program is designed to find the solution of such equation on the interval [t0, t0+n] if the initial condition u(t0)=u0 is given. The solution is found stepwise - on each interval [t0+i-1, t0+i], i=1,...,n, separately. Further, the values of the solution at chosen points can be computed and the graph of the solution is shown.