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 …

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 …

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 …

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. …

Mar 10, 2025 · The main difference between a differential such as dx d x, dy d y, or more generally df d f (for a function f f of several variables) and a differential form is generality: a …

Nov 29, 2015 · The meaning of the notation is indeed a second order differential, i.e. a difference of difference, not a squared difference. Then about any function will show you that the square …

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? …

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 …

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 …

Jun 8, 2013 · 2 One could define a linear differential equation as one in which linear combinations of its solutions are also solutions.