Jul 13, 2015 · 8 The differential of a function at is simply the linear function which produces the best linear approximation of in a neighbourhood of . Specifically, among the linear functions that take the …

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 …

Jul 21, 2018 · 72 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 …

Oct 3, 2019 · To define a differential a little more rigorously, let's say that every equation/relation has a foundational independent variable that all the others are ultimately dependent upon, even if we don't …

Nov 3, 2016 · I mean we are defining differential by differential itself. Can we define differential more precisely and rigorously? P.S. Is it possible to define differential simply as the limit of a difference as …

Dec 30, 2025 · How to solve this Ordinary Differential Equation? Ask Question Asked 19 days ago Modified 17 days ago

Jan 16, 2023 · In solving differential equation, one encounters steady-state solutions. My textbook says that steady-state solution is the limit of solutions of (ordinary) differential equations when t → ∞ t → ∞.

Dec 19, 2022 · Pushforward of differential forms is a standard operation, described in many expository texts. A fairly detailed presentation is given in Chapter VII of Werner Greub, Stephen Halperin, Ray …

For questions about ordinary differential equations, which are differential equations involving ordinary derivatives of one or more dependent variables with respect to a single independent variable. For …

Apr 1, 2024 · In differential geometry one shows that, associated to a smooth map between manifolds f: M → N f: M → N there is a linear map dpf: TpM → Tf(p)N d p f: T p M → T f (p) N for each p ∈ M p ∈ …