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  1. 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 …

  2. Proving uniqueness of solution of a differential equation

    Dec 21, 2025 · I was solving a physics problem and the solution involves solving a differential equation that's of the form:

  3. 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 …

  4. real analysis - Understanding the Differential of a smooth map ...

    Oct 29, 2025 · How does the differential of smooth maps between manifolds relate to the "usual" differential of multivariate functions in $\mathbb {R}^ {n}$? Smooth manifolds are locally Euclidean, …

  5. What is a differential form? - Mathematics Stack Exchange

    Jul 21, 2018 · 73 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 …

  6. calculus - How to solve this Ordinary Differential Equation ...

    Dec 30, 2025 · How to solve this Ordinary Differential Equation? Ask Question Asked 19 days ago Modified 17 days ago

  7. Why do we define things in terms of differential equations instead of ...

    Nov 25, 2023 · Why, then, do we teach the differential equation instead of directly giving the solution? Because understanding a process becomes much easier the fewer assumptions you start with, and a …

  8. 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 …

  9. 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...

  10. Newest 'differential-forms' Questions - Mathematics Stack Exchange

    5 days ago · For questions about differential forms, a class of objects in differential geometry and multivariable calculus that can be integrated.