Jul 13, 2015 · The right question is not "What is a differential?" but "How do differentials behave?". Let me explain this by way of an analogy. Suppose I teach you all the rules for adding and multiplying …

Dec 21, 2025 · I was solving a physics problem and the solution involves solving a differential equation that's of the form:

See this answer in Quora: What is the difference between derivative and differential?. In simple words, the rate of change of function is called as a derivative and differential is the actual change of …

Nov 3, 2016 · What bothers me is this definition is completely circular. I mean we are defining differential by differential itself. Can we define differential more precisely and rigorously? P.S. Is it possible to …

Mar 10, 2025 · A differential form is (technically) a function that we can calculate value at a point and AFAIK it has nothing to do with infinitesimals nor tends to anything. A course in precalculus, calculus, …

Oct 3, 2019 · I am a bit confused about differentials, and this is probably partly due to what I find to be a rather confusing teaching approach. (I know there are a bunch of similar questions around, but none o...

Jul 21, 2018 · 73 can someone please informally (but intuitively) explain what "differential form" mean? I know that there is (of course) some formalism behind it - definition and possible operations with …

Jun 8, 2013 · 2 One could define a linear differential equation as one in which linear combinations of its solutions are also solutions.

Nov 25, 2023 · Why, then, do we teach the differential equation instead of directly giving the solution? Because understanding a process becomes much easier the fewer assumptions you start with, and a …

Feb 1, 2026 · The questions I think to ask oneself here: 1) how is each and every operation used in solving the differential equation justified by reference to spaces of test functions, and 2) how do we …