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Questions on Inverting Laplace transforms and Probability

score 621 · Answer 1 · 2026-04-01 00:10:31

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Questions on Inverting Laplace transforms and Probability

Published on 01 Apr 2026 - 0:10

score 858 · Answer 2 · 2015-11-07 10:54:18

858

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What is the inverse Laplace transform of $\frac{p^2}{(p^2+4)^2}$

Published on 07 Nov 2015 - 10:54

score 1.3k · Answer 3 · 2015-11-08 17:12:16

1.3k

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If $\int_{0}^{\infty} f(x) \, dx $ converges, will $\int_{0}^{\infty}e^{-sx} f(x) \, dx$ always converge uniformly on $[0, \infty)$?

Published on 08 Nov 2015 - 17:12

score 312 · Answer 4 · 2026-03-26 12:51:22

312

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laplace transform of difference between two gamma independent random variables

Published on 26 Mar 2026 - 12:51

score 642 · Answer 5 · 2015-11-10 05:54:52

642

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Show that $Y(s)$ satisfies $(1+s^2)Y'(s) + sY(s) = 0$ for $ty'' + y' + ty = 0$

Published on 10 Nov 2015 - 5:54

score 957 · Answer 6 · 2026-03-26 17:38:13

957

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Bilateral Laplace transform

Published on 26 Mar 2026 - 17:38

score 137 · Answer 7 · 2026-04-07 14:36:42

137

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Inverse Fourier transform using laplace

Published on 07 Apr 2026 - 14:36

score 49 · Answer 8 · 2015-11-10 21:36:41

49

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Show $\int_{s}^{\infty} f(x)dx = \mathcal{L} \{\frac{F(t)}{t}\}$ given $f(x) = \int_{0}^{\infty} e^{-xt}F(t)dt$

Published on 10 Nov 2015 - 21:36

score 128 · Answer 9 · 2015-11-13 02:07:20

128

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Attempting to use the Laplace transform to solve a second order ordinary differential equation with a piece wise forcing function.

Published on 13 Nov 2015 - 2:07

score 3.2k · Answer 10 · 2026-03-29 10:55:33

3.2k

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Moment Generating Function and Inverse Laplace transform

Published on 29 Mar 2026 - 10:55

score 40 · Answer 11 · 2026-04-04 16:46:52

40

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Find the coefficient of partial expansion $\frac{2x+3}{(1-x)(1+0.5x+0.5x^2)}$

Published on 04 Apr 2026 - 16:46

score 41 · Answer 12 · 2015-11-15 23:24:36

41

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Solving a differential equation that includes cosine

Published on 15 Nov 2015 - 23:24

score 58 · Answer 13 · 2015-11-16 15:42:16

58

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Deriving the Laplace transform of $t$

Published on 16 Nov 2015 - 15:42

score 222 · Answer 14 · 2015-11-16 18:04:01

222

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Laplace inverse of $\frac{e^{-\sqrt{s+2}}}{s}$

Published on 16 Nov 2015 - 18:04

score 470 · Answer 15 · 2026-03-30 08:22:09

470

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Laplace transform to bio heat equation

Published on 30 Mar 2026 - 8:22

List Question

Questions on Inverting Laplace transforms and Probability

What is the inverse Laplace transform of $\frac{p^2}{(p^2+4)^2}$

If $\int_{0}^{\infty} f(x) \, dx $ converges, will $\int_{0}^{\infty}e^{-sx} f(x) \, dx$ always converge uniformly on $[0, \infty)$?

laplace transform of difference between two gamma independent random variables

Show that $Y(s)$ satisfies $(1+s^2)Y'(s) + sY(s) = 0$ for $ty'' + y' + ty = 0$

Bilateral Laplace transform

Inverse Fourier transform using laplace

Show $\int_{s}^{\infty} f(x)dx = \mathcal{L} \{\frac{F(t)}{t}\}$ given $f(x) = \int_{0}^{\infty} e^{-xt}F(t)dt$

Attempting to use the Laplace transform to solve a second order ordinary differential equation with a piece wise forcing function.

Moment Generating Function and Inverse Laplace transform

Find the coefficient of partial expansion $\frac{2x+3}{(1-x)(1+0.5x+0.5x^2)}$

Solving a differential equation that includes cosine

Deriving the Laplace transform of $t$

Laplace inverse of $\frac{e^{-\sqrt{s+2}}}{s}$

Laplace transform to bio heat equation

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