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Just chiming in to say we do indeed exist and your example is pretty spot on, but I unfortunately have not self-studied diff.eqs. if I eventually do, I'll make sure to write something up about it.

I'd like to think I have developed a hint of mathematical maturity (CS + late declared Math major), but I went more the algebra route and ended up never taking a diff.eq. course. The closest I came was in a complex analysis course with some motivating examples that assumed we'd have picked up some tricks in a diff.eq. course.




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