Question

How to solve this DE involving a convolution $\int_0^t ds \ e^{-\kappa s} \cos(\omega s) f(t-s)$?

score 124 · Answer 1 · 2026-03-27 01:53:29

124

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How to solve this DE involving a convolution $\int_0^t ds \ e^{-\kappa s} \cos(\omega s) f(t-s)$?

Published on 27 Mar 2026 - 1:53

score 393 · Answer 2 · 2019-02-04 21:38:55

393

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Calculating inverse Laplace transform of $\exp(-s c)/s$?

Published on 04 Feb 2019 - 21:38

score 266 · Answer 3 · 2026-03-22 20:11:26

266

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Laplace transforms with Fresnel(?) integrals

Published on 22 Mar 2026 - 20:11

score 59 · Answer 4 · 2026-03-27 00:02:29

59

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Two dimensional Laplace transform of convolutions

Published on 27 Mar 2026 - 0:02

score 997 · Answer 5 · 2019-02-07 00:40:41

997

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If $f(t)=\frac{e^{bt}-e^{at}}{t}$ how to compute $\mathcal{L} \{ f(t) \}$

Published on 07 Feb 2019 - 0:40

score 1k · Answer 6 · 2026-03-26 02:54:41

1k

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Using Laplace transform to solve differential equation $y'' -4y' = -4te^{2t}$

Published on 26 Mar 2026 - 2:54

score 668 · Answer 7 · 2019-02-07 23:10:59

668

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Solving second order PDE using Laplace transforms. $u_{t}(x,t)-u_{x}(x,t)=u_{xx}(x,t)$ with $u(x,0)=\cos(2x)$

Published on 07 Feb 2019 - 23:10

score 1.1k · Answer 8 · 2026-03-25 20:42:03

1.1k

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Laplace transform of heat conduction PDE in cylindrical coordinates.

Published on 25 Mar 2026 - 20:42

score 7.7k · Answer 9 · 2026-02-23 05:58:27

7.7k

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Laplace Transform of $ te^{2t}$ using unit step function

Published on 23 Feb 2026 - 5:58

score 66 · Answer 10 · 2026-03-25 12:54:37

66

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$\lim_{n \to \infty} E[e^{-X\frac{t}{n}}]^n \approx \lim_{n \to \infty} E(1-\frac{E[X] t}{n})^n = e^{-E[X]t}$

Published on 25 Mar 2026 - 12:54

score 144 · Answer 11 · 2019-02-13 12:56:08

144

Views

Showing that integral is related to sine function in elementary means

Published on 13 Feb 2019 - 12:56

score 181 · Answer 12 · 2026-03-26 08:00:31

181

Views

Laplace transform of inverse power law: $t^{-(1+\beta)}$ for $t > 0$ and $0 < \beta < 1$

Published on 26 Mar 2026 - 8:00

score 201 · Answer 13 · 2019-02-18 19:35:53

201

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Find the transfer function G(s)

Published on 18 Feb 2019 - 19:35

score 1.5k · Answer 14 · 2026-03-26 09:37:24

1.5k

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Filtering property of Dirac $\delta$ function

Published on 26 Mar 2026 - 9:37

score 290 · Answer 15 · 2026-02-23 03:51:26

290

Views

Inverse Laplace Transform of $F(s)=\frac{1}{\sqrt{s} \coth(\sqrt{s})-1}$.

Published on 23 Feb 2026 - 3:51

List Question

How to solve this DE involving a convolution $\int_0^t ds \ e^{-\kappa s} \cos(\omega s) f(t-s)$?

Calculating inverse Laplace transform of $\exp(-s c)/s$?

Laplace transforms with Fresnel(?) integrals

Two dimensional Laplace transform of convolutions

If $f(t)=\frac{e^{bt}-e^{at}}{t}$ how to compute $\mathcal{L} \{ f(t) \}$

Using Laplace transform to solve differential equation $y'' -4y' = -4te^{2t}$

Solving second order PDE using Laplace transforms. $u_{t}(x,t)-u_{x}(x,t)=u_{xx}(x,t)$ with $u(x,0)=\cos(2x)$

Laplace transform of heat conduction PDE in cylindrical coordinates.

Laplace Transform of $ te^{2t}$ using unit step function

$\lim_{n \to \infty} E[e^{-X\frac{t}{n}}]^n \approx \lim_{n \to \infty} E(1-\frac{E[X] t}{n})^n = e^{-E[X]t}$

Showing that integral is related to sine function in elementary means

Laplace transform of inverse power law: $t^{-(1+\beta)}$ for $t > 0$ and $0 < \beta < 1$

Find the transfer function G(s)

Filtering property of Dirac $\delta$ function

Inverse Laplace Transform of $F(s)=\frac{1}{\sqrt{s} \coth(\sqrt{s})-1}$.

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