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GATE2018-1-38
Arjun
asked
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Differential Equations
Feb 17, 2018
recategorized
Mar 5, 2021
by
Lakshman Patel RJIT
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$F(s)$ is the Laplace transform of the function $f(t) =2t^2 e^{-t}$. $F(1)$ is _______ (correct to two decimal places).
gateme-2018-set1
numerical-answers
differential-equation
laplace-transforms
Arjun
asked
in
Differential Equations
Feb 17, 2018
recategorized
Mar 5, 2021
by
Lakshman Patel RJIT
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Arjun
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piyag476
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Feb 19, 2017
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The function $f(t)$ satisfies the differential equation $\dfrac{d^2f}{dt^2}+f=0$ and the auxiliary conditions, $f(0)=0$, $\dfrac{d(f)}{d(t)}(0)=4$. The Laplace transform of $f(t)$is given by $\dfrac{2}{s+1} \\$ $\dfrac{4}{s+1} \\$ $\dfrac{4}{s^2+1} \\$ $\dfrac{2}{s^4+1}$
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Arjun
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Feb 17, 2018
GATE2018-1-37
An explicit forward Euler method is used to numerically integrate the differential equation $\dfrac{dy}{dt} = y$ using a time step of $0.1$. With the initial condition $y(0)=1$, the value of $y(1)$ computed by this method is ________ (correct to two decimal places)
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asked
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Differential Equations
Feb 17, 2018
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go_editor
asked
in
Engineering Mathematics
Feb 19, 2020
GATE2020-ME-1: 35
Consider two exponentially distributed random variables $\text{X and Y}$, both having a mean of $0.50$. Let $Z=X+Y$ and $r$ be the correlation between $\text{X and Y}$.If the variance of $Z$ equals $0$, then the value of $r$ is __________ (roundoff to $2$ decimal places).
go_editor
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Feb 19, 2020
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The partial differential equation $\dfrac{\partial u }{\partial t}+u\dfrac{\partial u}{\partial x}=\dfrac{\partial^2 u}{\partial x^2}$ is a linear equation of order $2$ non-linear equation of order $1$ linear equation of order $1$ non-linear equation of order $2$
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Arjun
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Computer Integrated Manufacturing
Feb 17, 2018
GATE2018-1-55
An electrochemical machining (ECM) is to be used to cut a through hole into a $12$ mm thick aluminum plate. The hole has a rectangular cross-section. $10 \: mm \times 30 \:mm$. The ECM operation will be accomplished in $2$ minutes, with efficiency of $90 \%$. Assuming ... , the current (in A) required is __________ (correct to two decimal places).
Arjun
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Computer Integrated Manufacturing
Feb 17, 2018
by
Arjun
27.4k
points
gateme-2018-set1
numerical-answers
computer-integrated-manufacturing
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