Jul 13, 2015 · The differential of a function $f$ at $x_0$ is simply the linear function which produces the best linear approximation of $f(x)$ in a neighbourhood of $x_0$.

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 4, 2020 · At this point, however, I think that the best way to approach the daunting concept of differential forms is to realize that differential forms are defined to be the thing that makes …

Jul 8, 2018 · Now if you want to, you can partially evaluate the second differential $ \mathrm d ^ 2 y $ when $ \mathrm d ^ 2 x = 0 $, getting a partial second differential showing only the …

A differential equation is linear if and only if it is in the following form or is mathematically equivalent to said form: a(x)*y + b(x)*y' + c(x)*y'' + ... = q(x) (Right side is just a loose function …

For mathematics departments, some more strict books may be suitable. But whatever book you are using, make sure it has a lot of solved examples. And ideally, it should also include some …

Dec 23, 2018 · $\begingroup$ Well, I saw this equation in a fb group named JulioProfe some time ago. I found the exercise interesting and decided to take it back a few days ago, I don't know …

Nov 19, 2014 · $\begingroup$ And here is one more example, which comes to mind: a book for famous Russian mathematician: Ordinary Differential Equations, which does not cover that …

Oct 29, 2011 · What is the difference between an implicit ordinary differential equation and a differential algebraic equation? 2 Explicit formula for the implicit Euler method

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 …