Academic research
The grad student and the wrong solver.
A PhD student in chemical engineering is modeling a reactor. He tries ode45 because it was in the tutorial. It crashes on stiff systems. He tries ode15s because somebody on a forum said so. It works, sort of. He tunes tolerances for two weeks. His advisor asks why the deadline is slipping. The answer is that nobody taught him which solver to use for which problem, and the documentation for all six contenders reads the same.
Imagine a tool that takes his ODE in, fingerprints it in seconds, runs every reasonable solver on it, and shows him a comparison table. The right solver comes with evidence. The wrong solvers come with evidence too. He picks the one that wins on his actual problem.