Recently I have been struggling with Differential Equations in the college, in part with the algebra, but more important, looking for the importance of this topics. I have read about some applications in physics but I feel them so far away in the sense that I don't know if I will ever apply that knowledge in my area(CS).

Now, I love programming and I don't hate mathematics, simply I always try to find the utility of them, otherwise all that theory seems so boring. And the point is, have you ever faced with programming problems involving derivatives, integrals, DE? If so, can you give me some examples? Please.