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 …

Dec 30, 2025 · Ask question Explore related questions calculus ordinary-differential-equations derivatives

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 …

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 …

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 · 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...

Aug 6, 2020 · Speaking about ALL differential equations, it is extremely rare to find analytical solutions. Further, simple differential equations made of basic functions usually tend to have ludicrously complic...

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 …

Nov 11, 2024 · So on running this differential equation through WA, I got the result in Bessel function. Is there any general solution to that above general differential equation in terms of Bessel function?

Dec 23, 2018 · "I saw this problem on Facebook" is more promising than "This DE came up in a research problem I'm working on", since the latter wouldn't give any hope of being solvable. One …