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Recent questions tagged laplacetransform
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GATE ECE 2016 Set 1  Question: 4
Which one of the following is a property of the solutions to the Laplace equation: $\nabla^2f = 0$? The solutions have neither maxima nor minima anywhere except at the boundaries. The solutions are not separable in the coordinates. The solutions are not continuous. The solutions are not dependent on the boundary conditions.
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Mar 28, 2018
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Network Solution Methods
by
Milicevic3306
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gate2016ec1
networksolutionmethods
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GATE ECE 2016 Set 1  Question: 30
The Laplace transform of the casual periodic square wave of period $T$ shown in the figure below is $F(S) = \frac{1}{1+e^{sT/2}} \\$ $F(S) =\frac{1}{s(1+e^{sT/2})} \\$ $F(S) = \frac{1}{s(1e^{sT})} \\$ $F(S) = \frac{1}{1e^{sT}}$
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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27
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gate2016ec1
networksolutionmethods
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3
GATE ECE 2015 Set 2  Question: 1
The bilateral Laplace transform of a function $f(t) = \begin{cases} 1 & \text{if } a \leq t \leq b \\ 0 & \text{otherwise} \end{cases}$ is $\dfrac{ab}{s} \\$ $\dfrac{e^{s}(ab)}{s} \\$ $\dfrac{e^{as}e^{bs}}{s} \\$ $\dfrac{e^{s(ab)}}{s}$
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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15.8k
points)

23
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gate2015ec2
networksolutionmethods
laplacetransform
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4
GATE ECE 2015 Set 2  Question: 17
Let the signal ݂$f(t) = 0$ outside the interval $[T_{1},T_{2}]$, where ܶ$T_{1}$ and ܶ$T_{2}$ are finite. Furthermore, $\mid f(t) \mid < \infty$ ... ݆$j\Omega$ axis a parallel strip not containing the ݆$j\Omega$ axis the entire $s$ plane a half plane containing the ݆$j\Omega$ axis
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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15.8k
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29
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gate2015ec2
networksolutionmethods
laplacetransform
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5
GATE ECE 2015 Set 2  Question: 45
Let $x(t) = \alpha s(t) + s(t)$ with $s(t) = \beta e^{4t}u(t),$ where $u(t)$ is unit step function. If the bilateral Laplace transform of $x(t)$ is $X(s) = \dfrac{16}{s^{2} – 16}\:\: 4 < Re\{s\}<4;$ then the value of $\beta$ is ______.
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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15.8k
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29
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gate2015ec2
numericalanswers
networksolutionmethods
laplacetransform
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6
GATE ECE 2014 Set 4  Question: 28
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. Which one of the following is the unilateral Laplace transform of $g(t) = t \cdot f(t)$? $\frac{s}{(s^2+s+1)^2}$ $\frac{(2s+1)}{(s^2+s+1)^2}$ $\frac{s}{(s^2+s+1)^2}$ $\frac{2s+1}{(s^2+s+1)^2}$
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Mar 26, 2018
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Network Solution Methods
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Milicevic3306
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15.8k
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16
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gate2014ec4
networksolutionmethods
laplacetransform
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GATE ECE 2013  Question: 36
A system is described by the differential equation $\dfrac{\mathrm{d}^{2} y}{\mathrm{d} x} + 5\dfrac{\mathrm{d}y }{\mathrm{d} x} + 6y(t) = x(t).$ Let $x(t)$ be a rectangular pulse given by $x(t) = \begin{cases} 1&0<t<2 \\ 0&\text{otherwise} \end{cases}$ ... $\frac{e^{2s}}{(s+2)(s+3)} \\$ $\frac{1e^{2s}}{s(s+2)(s+3)} $
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Mar 26, 2018
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Differential Equations
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Milicevic3306
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19
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gate2013ec
differentialequations
laplacetransform
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8
GATE ECE 2012  Question: 11
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. The unilateral Laplace transform of $tf(t)$ is $\frac{s}{(s^2+s+1)^2}$ $\frac{2s+1}{(s^2+s+1)^2}$ $\frac{s}{(s^2+s+1)^2}$ $\frac{2s+1}{(s^2+s+1)^2}$
asked
Mar 25, 2018
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Network Solution Methods
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Milicevic3306
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15.8k
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22
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gate2012ec
networksolutionmethods
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