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Recent questions tagged differential-equation
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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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Engineering Mathematics
Feb 19, 2020
by
go_editor
5.0k
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gateme-2020-set1
numerical-answers
engineering-mathematics
differential-equation
random-variables
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0
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GATE2019 ME-2: 27
A diffferential equation is given as $x^2 \frac{d^2y}{dx^2} – 2x \frac{dy}{dx} +2y =4$ The solution of the differential equation in terms of arbitrary constants $C_1$ and $C_2$ is $y=C_1x^2 +C_2 x+2 \\$ $y=\dfrac{C_1}{x^2} +C_2x+2 \\$ $y=C_1x^2+C_2x+4 \\$ $y=\dfrac{C_1}{x^2}+C_2x+4$
Arjun
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Engineering Mathematics
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
engineering-mathematics
differential-equation
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0
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GATE ME 2012 | Question: 46
Consider the differential equation $x^2 \dfrac{d^2y}{dx^2}+x\dfrac{dy}{dx}-4y=0$ with the boundary conditions of $y(0)=0$ and $y(1)=1$. The complete solution of the differential equation is $x^2 \\$ $\sin \left (\dfrac{\pi x}{2} \right ) \\$ $e^x \sin \left (\dfrac{\pi x}{2} \right ) \\$ $e^{-x} \sin \left (\dfrac{\pi x}{2} \right) \\$
Andrijana3306
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Differential Equations
Mar 20, 2018
by
Andrijana3306
1.5k
points
gateme-2012
differential-equation
boundary-value-problems
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answers
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GATE2018-1-38
$F(s)$ is the Laplace transform of the function $f(t) =2t^2 e^{-t}$. $F(1)$ is _______ (correct to two decimal places).
Arjun
asked
in
Differential Equations
Feb 17, 2018
by
Arjun
27.4k
points
gateme-2018-set1
numerical-answers
differential-equation
laplace-transforms
0
answers
0
votes
GATE ME 2013 | Question: 27
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 $\dfrac{2}{s+1} \\$ $\dfrac{4}{s+1} \\$ $\dfrac{4}{s^2+1} \\$ $\dfrac{2}{s^4+1}$
piyag476
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in
Differential Equations
Feb 19, 2017
by
piyag476
1.4k
points
gateme-2013
differential-equation
laplace-transforms
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answers
0
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GATE ME 2013 | Question: 1
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 $2$
piyag476
asked
in
Differential Equations
Feb 19, 2017
by
piyag476
1.4k
points
gateme-2013
differential-equation
partial-differential-equation
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