Differential equations are not advanced math. It is just basic calculus. Partial Differential Equations is where advanced math starts.
You think you love computers. But basically you love some parts of the computers that you are familiar with. But in real life, after getting your CS degree, the part of computing that puts food on the table and pays rent, is probably not going to be that part of computers that you love. It is going to be some pointy haired bosses, some nitwit IT department, some insane procedures instituted by some VP, and work, deadline, metrics, annual performance review ..
Where does diff eqn figure in this? It is where you learn to do things that are not particularly interesting, whose purpose is not immediately evident, things that are hard, things that require hard work, long hours and perseverance to complete. In short these frustrating experiences prepare you for a career. Any fool can devote all his/her time to something he/she loves. I am not sure the job I am offering is going the what you are passionate about. I need workers who will complete tasks even if they are boring and appear to be pointless. I will hire people who have suffered through diff equations. In an earlier era I might have insisted on Latin too.