Question

Lambert W function identity from differential equation

score 316 · Answer 1 · 2014-11-27 19:41:20

316

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Lambert W function identity from differential equation

Published on 27 Nov 2014 - 19:41

score 999 · Answer 2 · 2014-12-02 11:10:53

999

Views

How to check if some equation can be solved using Lambert $\operatorname{W}$ function.

Published on 02 Dec 2014 - 11:10

score 289 · Answer 3 · 2014-12-12 13:35:03

289

Views

Solving equation involving self-exponentiation

Published on 12 Dec 2014 - 13:35

score 303 · Answer 4 · 2014-12-18 07:42:09

The Lambert function has two real branches for $x∈[−1/e,0)$: the principal branch $W_0$ and the branch $W_-1$

score 380 · Answer 5 · 2014-12-20 00:55:06

380

Views

Montonicity of Lambert W

Published on 20 Dec 2014 - 0:55

score 196 · Answer 6 · 2019-10-04 18:14:48

196

Views

$exp(x)-\frac{x^{2}}{a}+\frac{x}{b}-1=0$

Published on 04 Oct 2019 - 18:14

score 330 · Answer 7 · 2019-10-05 10:40:34

330

Views

Seeking an explicit solution (using Lambert W?) for $\lambda$ in $2\lambda = \sinh(\lambda)+(1+2\beta)(\cosh(\lambda)-1)$

Published on 05 Oct 2019 - 10:40

score 113 · Answer 8 · 2019-10-14 20:43:56

113

Views

Differential equation $x'(t) e^{-x'(t)^2} = c$ with Lambert W function.

Published on 14 Oct 2019 - 20:43

score 661 · Answer 9 · 2019-11-04 08:03:18

661

Views

How can I solve the given equation?

Published on 04 Nov 2019 - 8:03

score 129 · Answer 10 · 2019-11-05 04:33:32

129

Views

Closed form for the integral $\int_{-\pi/2}^{\pi/2} W(\sec(\varphi)) d\varphi$?

Published on 05 Nov 2019 - 4:33

score 124 · Answer 11 · 2019-11-12 09:47:51

124

Views

Avoid arithmetic overflow, when calculating LambertW(exp(x))

Published on 12 Nov 2019 - 9:47

score 76 · Answer 12 · 2019-11-26 22:57:13

76

Views

For which values of reals $ a$ and $ x$ this:${x}^{x^{x^{x^...}}}=a$ could be work?

Published on 26 Nov 2019 - 22:57

score 242 · Answer 13 · 2019-11-27 02:07:33

242

Views

Solving $(x-1)\exp x = c$ with the Lambert W Function

Published on 27 Nov 2019 - 2:07

score 39 · Answer 14 · 2019-12-03 03:52:44

39

Views

What is the symbolic solution to the equation?

Published on 03 Dec 2019 - 3:52

score 1.1k · Answer 15 · 2019-12-07 02:14:50

1.1k

Views

Closed form for $\ln(e+\cfrac{1}{\ln(e+ \cfrac1\ddots)})$

Published on 07 Dec 2019 - 2:14

List Question

Lambert W function identity from differential equation

How to check if some equation can be solved using Lambert $\operatorname{W}$ function.

Solving equation involving self-exponentiation

The Lambert function has two real branches for $x∈[−1/e,0)$: the principal branch $W_0$ and the branch $W_-1$

Montonicity of Lambert W

$exp(x)-\frac{x^{2}}{a}+\frac{x}{b}-1=0$

Seeking an explicit solution (using Lambert W?) for $\lambda$ in $2\lambda = \sinh(\lambda)+(1+2\beta)(\cosh(\lambda)-1)$

Differential equation $x'(t) e^{-x'(t)^2} = c$ with Lambert W function.

How can I solve the given equation?

Closed form for the integral $\int_{-\pi/2}^{\pi/2} W(\sec(\varphi)) d\varphi$?

Avoid arithmetic overflow, when calculating LambertW(exp(x))

For which values of reals $ a$ and $ x$ this:${x}^{x^{x^{x^...}}}=a$ could be work?

Solving $(x-1)\exp x = c$ with the Lambert W Function

What is the symbolic solution to the equation?

Closed form for $\ln(e+\cfrac{1}{\ln(e+ \cfrac1\ddots)})$

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