I've lately came accross this "confusion" as I was solving a cauchy-euler equation that required a subtitution of for . It followed that Then or simply . But what about ? Is it or . I'm very confused about this because whenever we have a 1st order ODE let's say we change it to and then multiply the RHS by follows that as if the latter were a denominator!
If someone clears that out for me I would be very greatful!