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Recent questions tagged differentialequation
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GATE2017 CE229
Consider the following secondorder differential equation: $y’’ – 4y’+3y =2t 3t^2$. The particular solution of the differential solution equation is $ – 2 2tt^2$ $ – 2tt^2$ $2t3t^2$ $ – 2 2t3 t^2$
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Aug 7, 2019
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Partial Differential Equation (PDE):
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gatecse
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gate2017ce2
differentialequation
particularsolution
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2
GATE2019 CE1: 44
Consider the ordinary differential equation $x^2 \dfrac{d^2y}{dx^2} – 2x \dfrac{dy}{dx} +2y=0$. Given the values of $y(1)=0$ and $y(2)=2$, the value of $y(3)$ (round off to $1$ decimal place), is _________
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Feb 14, 2019
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Ordinary Differential Equation (ODE)
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Arjun
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gate2019ce1
differentialequation
numericalanswers
engineeringmathematics
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3
GATE2019 CE2: 28
An ordinary differential equation is given below; $\left ( \dfrac{dy}{dx} \right ) (x \text{ ln } x)=y$ The solution for the above equation is (Note: $K$ denotes a constant in the options) $y=K x \text{ ln } x$ $y=K x e^x$ $y=K x e^{x}$ $y=K \text{ ln } x$
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Feb 13, 2019
in
Ordinary Differential Equation (ODE)
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Arjun
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2.8k
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gate2019ce2
differentialequation
engineeringmathematics
ordinarydifferentialequation
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0
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4
GATE2016127
The value of $\int_0^{\infty} \dfrac{1}{1+x^2} dx + \int _0^{\infty} \dfrac{\sin x}{x} dx$ is $\frac{\pi}{2}$ $\pi$ $\frac{3 \pi}{2}$ $1$
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Mar 28, 2018
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Milicevic3306
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gate2016ce1
differentialequation
engineeringmathematics
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5
GATE2017 CE1: 20
Consider the following partial differential equation: $3 \frac{\partial ^2 \phi}{ \partial x^2} + B \frac{ \partial ^2 \phi}{\partial x \partial y} + 3 \frac{\partial ^2 \phi}{\partial y^2} + 4 \phi =0$ For this equation to be classified as parabolic, the value of $B^2$ must be ________
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Mar 27, 2018
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Milicevic3306
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gate2017ce1
numericalanswers
differentialequation
engineeringmathematics
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6
GATE2017 CE1: 21
$\underset{x \to 0}{\lim} \bigg( \dfrac{\tan x}{x^2x} \bigg)$ is equal to _________
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Mar 27, 2018
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gate2017ce1
numericalanswers
engineeringmathematics
differentialequation
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7
GATE2017 CE1: 27
The solution of the equation $\dfrac{dQ}{dt} +Q =1$ with $Q=0$ at $t=0$ is $Q(t)=e^{t}1$ $Q(t)=1+ e^{t}$ $Q(t)=1 e^t$ $Q(t)=1 e^{t}$
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Mar 27, 2018
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Milicevic3306
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gate2017ce1
differentialequation
engineeringmathematics
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8
GATE2014226
The expression $\lim_{a \to 0} \dfrac{x^a1}{a}$ is equal to $\log x$ $0$ $x \log x$ $\infty$
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Mar 26, 2018
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Milicevic3306
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gate2014ce2
engineeringmathematics
differentialequation
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9
GATE201424
The integrating factor for the differential equation $\frac{dP}{dt}+k_2P=k_1L_0e^{k_1t}$ is $e^{k_1t}$ $e^{k_2t}$ $e^{k_1t}$ $e^{k_2t}$
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Mar 26, 2018
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gate2014ce2
differentialequation
engineeringmathematics
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10
GATE201423
$z=\dfrac{23i}{5+i}$ can be expressed as $0.50.5i$ $0.5+0.5i$ $0.50.5i$ $0.5+0.5i$
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Mar 26, 2018
in
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Milicevic3306
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11.8k
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gate2014ce2
differentialequation
engineeringmathematics
0
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11
GATE201230
The solution of the ordinary differential equation $\frac{dy}{dx}+2y=0$ for the boundary condition, $y=5$ at $x=1$ is $y=e^{2x}$ $y=2e^{2x}$ $y=10.95 e^{2x}$ $y=36.95 e^{2x}$
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Mar 25, 2018
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Milicevic3306
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gate2012ce
differentialequation
engineeringmathematics
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12
GATE2018 CE2: 1
The solution of the equation $x \frac{dy}{dx} +y = 0$ passing through the point $(1,1)$ is $x$ $x^2$ $x^{1}$ $x^{2}$
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Feb 17, 2018
in
Ordinary Differential Equation (ODE)
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gatecse
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3.9k
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gate2018ce2
differentialequation
ordinarydifferentialequation
engineeringmathematics
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1
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13
GATE2018 CE1: 38
The solution (up to three decimal places) at $x=1$ of the differential equation $\frac{d^2y}{dx^2} + 2 \frac{dy}{dx} + y =0$ subject to boundary conditions $y(0) = 1$ and $\frac{dy}{dx}(0) = 1$ is _____
asked
Feb 17, 2018
in
Ordinary Differential Equation (ODE)
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gatecse
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3.9k
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gate2018ce1
differentialequation
numericalanswers
ordinarydifferentialequation
engineeringmathematics
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