List questions from differential-algebra

Published on 18 Apr 2023 - 16:29

102

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how do you know when there is no antiderivative written in elementary functions?

Published on 25 Jul 2023 - 14:03

51

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Is there really a need to prove both cases for logarithmic and exponential extensions in the theory of Symbolic Integration?

Published on 07 Aug 2023 - 19:29

96

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Let $D:\mathbb{R}(x)\to\mathbb{R}(x)$ be the algebraic(!) differential operator such that $D(x)=1$. Is it true that $D(c)=0$ for all $c\in\mathbb{R}$?

Published on 05 Sep 2023 - 18:26

76

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Which CAS can do non-commutative differential algebra?

Published on 02 Nov 2023 - 16:01

233

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Soft Question - Generalizations of the Derivative

Published on 23 Feb 2026 - 7:17

64

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q-Leibniz Rule?

Published on 24 Mar 2026 - 18:46

77

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Can the formation of Kähler differentials be seen as a functor into the category of modules (without specifying the ring of scalars)?

Published on 25 Mar 2026 - 5:08

52

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Magma - Differential field extension over a differential field

Published on 02 Jan 2024 - 5:40

76

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What non-algebraic methods do we have to solve this equation?

Published on 02 Jan 2024 - 22:22

99

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The antiderivative of $e^{x^2}$

Published on 30 Jan 2024 - 12:47

514

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chain rule for derivations

Published on 06 Mar 2015 - 20:19

60

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Differentiating both sides of a DE

Published on 23 Mar 2015 - 2:13

1.2k

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Why isn't differential Galois theory widely used?

Published on 25 Mar 2026 - 3:42

232

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What are all types of elementary second order ordinary differential equation that can not be expressed in closed form?

Published on 29 Apr 2015 - 20:59

List Question

Decomposition of the differential graded algebra

how do you know when there is no antiderivative written in elementary functions?

Is there really a need to prove both cases for logarithmic and exponential extensions in the theory of Symbolic Integration?

Let $D:\mathbb{R}(x)\to\mathbb{R}(x)$ be the algebraic(!) differential operator such that $D(x)=1$. Is it true that $D(c)=0$ for all $c\in\mathbb{R}$?

Which CAS can do non-commutative differential algebra?

Soft Question - Generalizations of the Derivative

q-Leibniz Rule?

Can the formation of Kähler differentials be seen as a functor into the category of modules (without specifying the ring of scalars)?

Magma - Differential field extension over a differential field

What non-algebraic methods do we have to solve this equation?

The antiderivative of $e^{x^2}$

chain rule for derivations

Differentiating both sides of a DE

Why isn't differential Galois theory widely used?

What are all types of elementary second order ordinary differential equation that can not be expressed in closed form?

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