When I was taking the MIT analog circuits class, they were showing the differential equation for RLC circuits and the teacher explained that these were figured

When I was taking the MIT analog circuits class, they were showing the differential equation for RLC circuits and the teacher explained that these were figured out via "guesswork". Apparently these equations are not solveable using a step by step simple transformation. If you plug them into Mathematica, it won't know how to solve them. Some really smart mathematicIan figured them out intuitively. This is what machine learning to me feels like. We just hook this stuff together and some really smart guy with a fractional Ramanujen worth of natural intuition says it will work and it does, especially for the really complex image recognition models. Have you guys looked at Google's "inception" architecture? It's a huge rube Goldberg machine of many many layers and it does work, but there's not a lot of reasoning about why it was designed the way it was.