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 …

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 …

Jul 21, 2018 · 69 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 …

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...

I am quite new to differential equations and derivatives. I want to derive an differential form for equation of an ellipse. If i start with an ordinary ellipse equation \\begin{equation} \\frac{x^2}...

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? …

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. …

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

Jul 8, 2018 · Is the above definition of the second differential used today in mathematics? This is the question for which I will accept an answer. Can the above definition be brought into …

Feb 8, 2017 · The differential of the map is given by the Jacobian. Basically what you want to do is take all of the partial derivatives of the coordinate functions and assemble them into a matrix.