Question

Is there a way to transform the following integral equation into a differential equation?

score 89 · Answer 1 · 2026-03-25 19:11:20

89

Views

Is there a way to transform the following integral equation into a differential equation?

Published on 25 Mar 2026 - 19:11

score 74 · Answer 2 · 2026-03-25 19:12:06

74

Views

How to compute $\int_0^s \frac{r\, \mathrm{d}r}{\sqrt{s^2-r^2}\sqrt{t^2-r^2}}$ if we know that $s<t$?

Published on 25 Mar 2026 - 19:12

score 75 · Answer 3 · 2016-10-06 19:28:14

75

Views

Does there exists $g\colon (0,1)^2 \to \mathbb{R}$ such that $\int_0^1 g(x,y) dy = 1$ and there exists $f$ satisfying $f(y) = \int_0^1 g(x,y)f(x) dx$

Published on 06 Oct 2016 - 19:28

score 230 · Answer 4 · 2016-10-07 07:40:09

230

Views

How to solve a Fredholm integral equation of the second kind with a logarithmic kernel function between 0 and 1?

Published on 07 Oct 2016 - 7:40

score 216 · Answer 5 · 2026-03-25 19:12:08

216

Views

How to obtain an inverse integral transform for $F(q) = \int_0^R \chi(t) \sin qt \, \mathrm{d}t$ provided that $\chi$ is an odd function?

Published on 25 Mar 2026 - 19:12

score 129 · Answer 6 · 2026-03-25 19:16:12

129

Views

How to check analytically that the following integral equations has this solution?

Published on 25 Mar 2026 - 19:16

score 55 · Answer 7 · 2026-03-25 19:12:04

55

Views

What are the assumptions that should be made for the determination of the unknown integration constants in this system of dual integral equations?

Published on 25 Mar 2026 - 19:12

score 180 · Answer 8 · 2016-10-13 14:26:59

180

Views

Integral Equation: $\frac{1}{\lambda(y)} = c_1 \int_0^\infty \lambda(x) \exp(-c_2 y x) \, dx$

Published on 13 Oct 2016 - 14:26

score 227 · Answer 9 · 2016-10-17 03:39:44

227

Views

Prove a integral equation

Published on 17 Oct 2016 - 3:39

score 80 · Answer 10 · 2026-03-25 19:10:53

80

Views

How to solve analytically a Volterra integral equation of the first kind with an $\arcsin$ kernel function?

Published on 25 Mar 2026 - 19:10

score 65 · Answer 11 · 2016-10-26 14:39:11

65

Views

Steady-State of nonlocal problem

Published on 26 Oct 2016 - 14:39

score 59 · Answer 12 · 2016-11-04 00:06:51

59

Views

Solving a non-linear, improper integral equation

Published on 04 Nov 2016 - 0:06

score 266 · Answer 13 · 2016-11-14 15:43:25

266

Views

Numerical solution of certain Volterra-Fredholm integral equations

Published on 14 Nov 2016 - 15:43

score 136 · Answer 14 · 2016-11-23 02:49:37

136

Views

Does there exist a probability distribution such that product of two IID variables is a uniform distribution? What about 3 IID variables?

Published on 23 Nov 2016 - 2:49

score 41 · Answer 15 · 2016-11-25 19:05:22

41

Views

Integral equation by Laplace Transform given $y(0)=1$

Published on 25 Nov 2016 - 19:05

List Question

Is there a way to transform the following integral equation into a differential equation?

How to compute $\int_0^s \frac{r\, \mathrm{d}r}{\sqrt{s^2-r^2}\sqrt{t^2-r^2}}$ if we know that $s<t$?

Does there exists $g\colon (0,1)^2 \to \mathbb{R}$ such that $\int_0^1 g(x,y) dy = 1$ and there exists $f$ satisfying $f(y) = \int_0^1 g(x,y)f(x) dx$

How to solve a Fredholm integral equation of the second kind with a logarithmic kernel function between 0 and 1?

How to obtain an inverse integral transform for $F(q) = \int_0^R \chi(t) \sin qt \, \mathrm{d}t$ provided that $\chi$ is an odd function?

How to check analytically that the following integral equations has this solution?

What are the assumptions that should be made for the determination of the unknown integration constants in this system of dual integral equations?

Integral Equation: $\frac{1}{\lambda(y)} = c_1 \int_0^\infty \lambda(x) \exp(-c_2 y x) \, dx$

Prove a integral equation

How to solve analytically a Volterra integral equation of the first kind with an $\arcsin$ kernel function?

Steady-State of nonlocal problem

Solving a non-linear, improper integral equation

Numerical solution of certain Volterra-Fredholm integral equations

Does there exist a probability distribution such that product of two IID variables is a uniform distribution? What about 3 IID variables?

Integral equation by Laplace Transform given $y(0)=1$

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