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 …
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 …
What is the difference between a general solution of a differential ...
Aug 19, 2023 · The general solution of a differential equation refers to the set of all solutions that satisfy the differential equation, and it usually contains some arbitrary constants, which can be determined …
derivatives - What is the difference between a differential and a ...
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, …
calculus - Solving ordinary differential equations using the ...
Feb 23, 2011 · I know how to solve linear homogeneous ordinary differential equations with constant coefficients using the differential operator D, by using this method. Is it possible to use a similar …
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}...
intuition - How Bernoulli differential equation arise naturally ...
A Bernoulli differential equation is a non-linear differential equation of the form $$ \\frac{dy}{dx} + P(x)y = Q(x)y^n. $$ I understand this is special; Because its exact solution is known though ...
Easy to read partial differential equations book?
Feb 16, 2021 · Partial Differential Equations: An Introduction by Walter Strauss An Introduction to Partial Differential Equations by Michael Renardy Partial Differential Equations by Fritz John Partial …
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 …
Newest 'differential-geometry' Questions - Mathematics Stack Exchange
Differential geometry is the application of differential calculus in the setting of smooth manifolds (curves, surfaces and higher dimensional examples). Modern differential geometry focuses on "geometric …