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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. 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 …

  6. 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 …

  7. 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...

  8. 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

  9. calculus - Solving Simultaneous Differential Equations - Mathematics ...

    Jan 16, 2023 · Explore related questions calculus ordinary-differential-equations systems-of-equations integrating-factor

  10. 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...