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Recent questions tagged laplacetransforms
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GATE2020ME23
Which of the following statements is true about the two sided Laplace transform? It exists for every signal that may or may not have a Fourier transform It has no poles for any bounded signal that is nonzero only inside a finite time interval The ... If a signal can be expressed as a weighted sum of shifted one sided exponentials, then its Laplace Transform will have no poles
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Mar 1
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jothee
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2.7k
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gate2020me2
engineeringmathematics
differentialequation
laplacetransforms
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GATE2020ME1: 3
The Laplace transform of a function $f(t)$ is $L( f )=\frac{1}{(s^{2}+\omega ^{2})}.$ Then, $f(t)$ is $f\left ( t \right )=\frac{1}{\omega ^{2}}\left ( 1\cos\:\omega t \right )$ $f\left ( t \right )=\frac{1}{\omega}\cos\:\omega t$ $f\left ( t \right )=\frac{1}{\omega}\sin\:\omega t$ $f\left ( t \right )=\frac{1}{\omega^{2}}\left ( 1\sin\:\omega t \right )$
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Feb 19
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jothee
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2.7k
points)
gate2020me1
engineeringmathematics
differentialequation
laplacetransforms
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GATE2019 ME1: 27
A harmonic function is analytic if it satisfies the Laplace equation. If $u(x,y)=2x^22y^2+4xy$ is a harmonic function, then its conjugate harmonic function $v(x,y)$ is $4xy2x^2+2y^2+ \text{constant}$ $4y^24xy + \text{constant}$ $2x^22y^2+ xy + \text{constant}$ $4xy+2y^22x^2+ \text{constant}$
asked
Feb 9, 2019
in
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by
Arjun
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21.2k
points)
gate2019me1
engineeringmathematics
differentialequation
laplacetransforms
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GATE2018138
$F(s)$ is the Laplace transform of the function $f(t) =2t^2 e^{t}$. $F(1)$ is _______ (correct to two decimal places).
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Feb 17, 2018
in
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by
Arjun
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21.2k
points)
gate2018me1
numericalanswers
engineeringmathematics
differentialequation
laplacetransforms
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0
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GATE201633
Solutions of Laplace’s equation having continuous secondorder partial derivatives are called biharmonic functions harmonic functions conjugate harmonic functions error functions
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Feb 24, 2017
in
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by
Arjun
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21.2k
points)
gate2016me3
engineeringmathematics
differentialequation
laplacetransforms
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GATE201623
Laplace transform of cos( $\omega$t) is $\frac{s}{s^2+\omega ^2}$ $\frac{\omega }{s^2+\omega ^2}$ $\frac{s}{s^2\omega ^2}$ $\frac{\omega }{s^2\omega ^2}$
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Feb 24, 2017
in
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by
Arjun
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21.2k
points)
gate2016me2
engineeringmathematics
differentialequation
laplacetransforms
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0
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GATE201612
If $f(t)$ is a function defined for all $t$ ≥ $0$, its Laplace transform $F(s)$ is defined as $\int_{0}^{\infty }e^{st}f(t)dt$ $\int_{0}^{\infty }e^{st}f(t)dt$ $\int_{0}^{\infty }e^{ist}f(t)dt$ $\int_{0}^{\infty }e^{ist}f(t)dt$
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Feb 24, 2017
in
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by
Arjun
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21.2k
points)
gate2016me1
engineeringmathematics
differentialequation
laplacetransforms
0
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GATE201445
Laplace transform of $\cos(\omega t)$ is $\frac{s}{s^2+\omega ^2}$. The Laplace transform of $e^{2t} \cos(4t)$ is $\frac{s2}{(s2)^2+16} \\$ $\frac{s+2}{(s2)^2+16} \\$ $\frac{s2}{(s+2)^2+16} \\$ $\frac{s+2}{(s+2)^2+16}$
asked
Feb 19, 2017
in
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by
Arjun
(
21.2k
points)
gate2014me4
engineeringmathematics
differentialequation
laplacetransforms
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GATE201327
The function $f(t)$ satisfies the differential equation $\frac{d^2f}{dt^2}+f=0$ and the auxiliary conditions, $f(0)=0$, $\frac{d(f)}{d(t)}(0)=4$. The Laplace transform of $f(t)$is given by $\frac{2}{s+1}$ $\frac{4}{s+1}$ $\frac{4}{s^2+1}$ $\frac{2}{s^4+1}$
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Feb 19, 2017
in
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by
piyag476
(
1.4k
points)
gate2013me
engineeringmathematics
differentialequation
laplacetransforms
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