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 …

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 …

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 …

Jul 21, 2018 · 70 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 …

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 …

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 …

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}...

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. …

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 ...

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 …