
calculus - What is the practical difference between a differential and ...
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 …
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 …
What actually is a differential? - Mathematics Stack Exchange
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...
Proving uniqueness of solution of a differential equation
Dec 21, 2025 · Proving uniqueness of solution of a differential equation Ask Question Asked 2 months ago Modified 2 months ago
Order and degree of Ordinary differential equations.
Jun 24, 2020 · If the differential equation contains logarithm, exponential and trigonometric function of the derivative then degree is not defined i.e. the equation has to be polynomial function to define …
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...
ordinary differential equations - difference between implicit and ...
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? Or …
real analysis - Rigorous definition of "differential" - Mathematics ...
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. Is it possible to …
Why can we treat differential operators as if they behave like ...
Jun 7, 2025 · Then one thinks of differential operators as a linear maps between such spaces. Often the space of all linear maps between two spaces is itself a vector space and so one can indeed start to …
Linear vs nonlinear differential equation - Mathematics Stack Exchange
Jun 8, 2013 · 2 One could define a linear differential equation as one in which linear combinations of its solutions are also solutions.