
What exactly is a differential? - Mathematics Stack Exchange
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 …
Proving uniqueness of solution of a differential equation
Dec 21, 2025 · I was solving a physics problem and the solution involves solving a differential equation that's of the form:
calculus - What is the practical difference between a differential and ...
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 …
real analysis - Understanding the Differential of a smooth map ...
Oct 29, 2025 · How does the differential of smooth maps between manifolds relate to the "usual" differential of multivariate functions in $\mathbb {R}^ {n}$? Smooth manifolds are locally Euclidean, …
real analysis - Rigorous definition of "differential" - Mathematics ...
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 …
What is a differential form? - Mathematics Stack Exchange
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 …
What actually is a differential? - Mathematics Stack Exchange
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...
calculus - How to solve this Ordinary Differential Equation ...
Dec 30, 2025 · How to solve this Ordinary Differential Equation? Ask Question Asked 19 days ago Modified 17 days ago
calculus - Solving Simultaneous Differential Equations - Mathematics ...
Jan 16, 2023 · Explore related questions calculus ordinary-differential-equations systems-of-equations integrating-factor
analysis - How to tell if a differential equation is homogeneous, or ...
Jan 27, 2015 · Sometimes it arrives to me that I try to solve a linear differential equation for a long time and in the end it turn out that it is not homogeneous in the first place. Is there a way to see direc...