
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 …
calculus - What is the practical difference between a differential …
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 …
What is a differential form? - Mathematics Stack Exchange
Jul 21, 2018 · 69 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 …
Best books for self-studying differential geometry
Next semester (fall 2021) I am planning on taking a grad-student level differential topology course but I have never studied differential geometry which is a pre-requisite for the course. My plan i...
ordinary differential equations - difference between implicit and ...
Oct 29, 2011 · What is difference between implicit and explicit solution of an initial value problem? Please explain with example both solutions (implicit and explicit)of same initial value problem? …
How to derive a differential equation of an ellipse
I am quite new to differential equations and derivatives. I want to derive an differential form for equation of an ellipse. If i start with an ordinary ellipse equation \\begin{equation} \\frac{x^2}...
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. …
Differential Equations: Stable, Semi-Stable, and Unstable
May 23, 2015 · I am trying to identify the stable, unstable, and semistable critical points for the following differential equation: $\\dfrac{dy}{dt} = 4y^2 (4 - y^2)$. If I understand the definition of …
reference request - Best Book For Differential Equations?
The differential equations class I took as a youth was disappointing, because it seemed like little more than a bag of tricks that would work for a few equations, leaving the vast majority of …
What is the difference between the derivative (the Jacobian), and …
Jul 21, 2020 · It also leads to another point. The differential has a linear approximation meaning. Basically, it denotes the change in the function. If it's a scalar value function, the change would …