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GATE201613
The Laplace Transform of $f(t)=e^{2t} \sin (5t)(ut)$ is $\frac{5}{s^{2}4s+29}$ $\frac{5}{s^{2}+5}$ $\frac{s2}{s^{2}4s+29}$ $\frac{5}{s +5}$
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
unitstepfunction
fouriertransform
shiftingtheorems
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2
GATE201614
A function $y(t)$, such that $y(0)=1$ and $y(1)=3e^{1}$, is a solution of the differential equation $\frac{d^{2}y}{dt^{2}}+2\frac{dy}{dt}+y=0$. Then $y(2)$ is $5e^{1}$ $5e^{2}$ $7e^{1}$ $7e^{2}$
asked
Jan 30, 2017
in
Differential Equations
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
quadraticequation
repeatedroots
linearordinarydifferentialequation
0
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0
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3
GATE201615
The value of the integral $\oint _{c}\frac{2z+5}{\left ( z\frac{1}{2} \right ) \left (z^{2} 4z+5 \right )}dz$ over the contour $z=1$, taken in the anticlockwise direction, would be $\frac{24 \pi i}{13}$ $\frac{48 \pi i}{13}$ $\frac{24}{13}$ $\frac{12}{13}$
asked
Jan 30, 2017
in
Differential Equations
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
partialderivative
upperlimit
lowerlimit
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