
What exactly is a differential? - Mathematics Stack Exchange
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 adding and multiplying …
calculus - What is the practical difference between a differential and ...
The first answer is using so many other complex mathematical terms that it does not help in any way. Unless you are a genius in advanced linear algebra ( at that point, you would not even need a …
What is a differential form? - Mathematics Stack Exchange
Jul 21, 2018 · 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 …
Linear vs nonlinear differential equation - Mathematics Stack Exchange
Jun 8, 2013 · How to distinguish linear differential equations from nonlinear ones? I know, that e.g.: $$ y''-2y = \\ln(x) $$ is linear, but $$ 3+ yy'= x - y $$ is nonlinear. Why?
Notation of the differential operator - Mathematics Stack Exchange
Jul 22, 2015 · In Germany, there is the DIN 1338 standard, according to which the differntial operator d, as, e.g., e for the Euler number, should be typeset as an upright letter.
Can the heat equation and other PDEs be solved/analyzed with the ...
Apr 3, 2025 · Can the heat equation and other PDEs be solved/analyzed with the language of differntial forms. Ask Question Asked 4 months ago Modified 1 month ago
Best books for self-studying differential geometry
Next semester (fall 2021) I am planning on taking a grad-student level differential topology course but I have never studied differential geometry which is a pre-requisite for the course. My plan i...
analysis - How to tell if a differential equation is homogeneous, or ...
Jan 27, 2015 · Sometimes it arrives to me that I try to solve a linear differential equation for a long time and in the end it turn out that it is not homogeneous in the first place. Is there a way to see direc...
Best Book For Differential Equations? - Mathematics Stack Exchange
I know this is a subjective question, but I need some opinions on a very good book for learning differential equations. Ideally it should have a variety of problems with worked solutions and be ...
calculus - How to solve harmonic oscillator differential equation ...
Dec 14, 2015 · I am able to solve simple differential equations like : $$\\dfrac{dy}{dx} = 3x^2 + 2x$$ We simply bring $dx$ to other site and integrate. But how do we find solutions ...