I'm a thermal engineer (mechanical engineering degree) who designs, assembles, and operates custom test hardware for electronics thermal testing.
The homework and exam problems you have in an undergrad degree are meant to teach you problem solving skills and the fundamental concepts of engineering. They are not meant to be representative of what you'll actually do in industry. I haven't had to solve ODEs or code a point jacobi solver, but it was still valuable to learn them at one point. Programming, algebra, basic statistics, basic thermal analysis, and basic circuit analysis are the main engineering skills that I use frequently.
I do have a bit of a "problem" (I guess if you want to call it that) with the engineers who brag about how they use 0% of what they learned in school at their engineering job. I'm not sure why you're bragging about that. You're either doing trivial work which you're overqualified for, or your employer hasn't yet caught on that they could get the same quality work from a non-engineer with a non-engineer salary. The ability to apply the principles of physics in the form of mathematical equations to solve real world technical problems is what differentiates an engineer from a technician or a machinist. And no, that doesn't mean that engineers are "better" than technicians or machinists, so let's not start that...