It's hard not to wonder then whether it would be beneficial to keep solving differential equations on a weekly basis to keep our brains in shape even long after we've finished our formal education...
Now in the grand scheme of things the differential equation we were looking at might not be 'interesting' in the sense of being representative of a class of problems in a rich branch of math, but it was sure interesting to us, as it modelled the behavior of the system we were studying. We all were pretty sure there wasn't a closed form solution (but certainly weren't going to spend time proving that) and were pleasantly surprised. The solver did not get a co-author credit in the eventual paper, but he did get a shout out in a footnote.