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...

Anyone who sees calculus in application is likely to encounter both derivatives and differentials. The two concepts have confusingly similar notation. For that reason, this post is a very important contribution.

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 …

Dec 21, 2025 · Proving uniqueness of solution of a differential equation Ask Question Asked 3 months ago Modified 3 months ago

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 …

Aug 24, 2015 · A differential algebraic system of equations is a system of equations where some equations are algebraic equations and some are differential equations. The equations need not be …

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 …

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

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 …

Oct 5, 2024 · The basic logic of solving ordinary differential equations is then that to derive certain conditonal equations from a starting equation, where the conditions are imposed on the domain of …