Using the Infinite Term Is Not the Correct Thing

Mathematica can give you the lamber w function as a leme finish. But imagine if it wasn't programmed into mathematica because we didn't know bat. There's no way that mathematical only uses what we already occupi shant say no way, ecause i don't think at least that it's only based on ww we know how to solve the frencial equations. The whole point of a programm is that it can do it the hard way. So given a very, very complicated differential equation, we might not know how to solved it but maomatic i'm pretty sure, maomatic i can still solve.