Question

Evaluate the $I=\frac{1}{\pi}\int_0^{\infty}\frac{e^{-xt}\sin (a\sqrt{x})}{x}\,\mathrm dx$

score 93 · Answer 1 · 2014-09-28 16:49:12

93

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Evaluate the $I=\frac{1}{\pi}\int_0^{\infty}\frac{e^{-xt}\sin (a\sqrt{x})}{x}\,\mathrm dx$

Published on 28 Sep 2014 - 16:49

score 275 · Answer 2 · 2014-09-29 20:26:58

275

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Laplace transform the expression $\int_0^t(t-u)y(u)du$

Published on 29 Sep 2014 - 20:26

score 2.4k · Answer 3 · 2026-03-25 07:43:29

2.4k

Views

How to solve this Laplace transform? $f(t)=e^{-2t}\cos^2 3t - 3t^2 e^{3t}$

Published on 25 Mar 2026 - 7:43

score 66 · Answer 4 · 2014-10-05 10:05:15

66

Views

Show $\mathcal{L}\left\{\frac{1}{t}f(t)\right\} = \int_{s}^{\infty}F(u)du$

Published on 05 Oct 2014 - 10:05

score 388 · Answer 5 · 2014-10-05 11:01:44

388

Views

Laplace transform of $ \frac{1}{C}\int_0^1i(t)dt$

Published on 05 Oct 2014 - 11:01

score 7.4k · Answer 6 · 2014-10-05 11:22:43

7.4k

Views

Laplace Transform and Convolution of Three Functions

Published on 05 Oct 2014 - 11:22

score 408 · Answer 7 · 2026-03-30 00:20:14

408

Views

Integration and Laplace-Stieltjes of a multiplied Weibull and Exponential distribution Function

Published on 30 Mar 2026 - 0:20

score 4.9k · Answer 8 · 2014-10-07 21:41:29

4.9k

Views

Find the impulse response to a RLC filter

Published on 07 Oct 2014 - 21:41

score 60 · Answer 9 · 2014-10-08 23:34:44

60

Views

Calculating improper integral

Published on 08 Oct 2014 - 23:34

score 113 · Answer 10 · 2014-10-09 11:17:58

113

Views

Inverse laplace transform in a physics problem.

Published on 09 Oct 2014 - 11:17

score 1.3k · Answer 11 · 2026-03-29 07:00:37

1.3k

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Inverse Laplace of $\frac{\sinh{x\sqrt{s}}}{s^2\sinh{\sqrt{s}}}$

Published on 29 Mar 2026 - 7:00

score 116 · Answer 12 · 2014-10-12 16:44:24

116

Views

Can anyone tell me the name of this laplace transform?

Published on 12 Oct 2014 - 16:44

score 53 · Answer 13 · 2026-03-26 09:26:24

53

Views

Rewriting solution in terms of hyperbolic trigs

Published on 26 Mar 2026 - 9:26

score 89 · Answer 14 · 2014-10-16 19:51:29

89

Views

All possible inverse laplace transform of $ (s+1)^2/(s^2+2s+1)$

Published on 16 Oct 2014 - 19:51

score 130 · Answer 15 · 2026-03-29 12:05:23

130

Views

Inverse Laplace transform of $\frac{s^2-4s-2}{\left(s^2+2\right)^2}$

Published on 29 Mar 2026 - 12:05

List Question

Evaluate the $I=\frac{1}{\pi}\int_0^{\infty}\frac{e^{-xt}\sin (a\sqrt{x})}{x}\,\mathrm dx$

Laplace transform the expression $\int_0^t(t-u)y(u)du$

How to solve this Laplace transform? $f(t)=e^{-2t}\cos^2 3t - 3t^2 e^{3t}$

Show $\mathcal{L}\left\{\frac{1}{t}f(t)\right\} = \int_{s}^{\infty}F(u)du$

Laplace transform of $ \frac{1}{C}\int_0^1i(t)dt$

Laplace Transform and Convolution of Three Functions

Integration and Laplace-Stieltjes of a multiplied Weibull and Exponential distribution Function

Find the impulse response to a RLC filter

Calculating improper integral

Inverse laplace transform in a physics problem.

Inverse Laplace of $\frac{\sinh{x\sqrt{s}}}{s^2\sinh{\sqrt{s}}}$

Can anyone tell me the name of this laplace transform?

Rewriting solution in terms of hyperbolic trigs

All possible inverse laplace transform of $ (s+1)^2/(s^2+2s+1)$

Inverse Laplace transform of $\frac{s^2-4s-2}{\left(s^2+2\right)^2}$

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