GATE2016-53

Milicevic3306 asked in Differential Equations Mar 26, 2018 recategorized Mar 18, 2021 by Lakshman Patel RJIT

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$\dfrac{d^2y}{dx^2}-y=0$. The conditions for this second order homogeneous differential equation are $y(0)=1$ and $\dfrac{dy}{dx}=3$ at $x=0$. The value of $y$ when $x = 2$ is __________

gate2016
numerical-answers
differential-equations

Milicevic3306 asked in Differential Equations Mar 26, 2018 recategorized Mar 18, 2021 by Lakshman Patel RJIT

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Milicevic3306 asked in Differential Equations Mar 26, 2018

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The Laplace transform $F(s)$ of the function $f(t) = \cos (at)$, where $a$ is constant, _________ $\dfrac{s^2}{s^2+a^2} \\$ $\dfrac{a}{s^2+a^2} \\$ $\dfrac{s}{s^2+a^2} \\$ $\dfrac{s}{s^2-a^2} $

Milicevic3306 asked in Differential Equations Mar 26, 2018

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Milicevic3306 asked in Differential Equations Mar 26, 2018

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For $y=f(x)$, if $\dfrac{d^2y}{dx^2}=0$, $\dfrac{dy}{dx}=0$ at $x=0$, and $y=1$ at $x=1$, the value of $y$ at $x=2$ is __________

Milicevic3306 asked in Differential Equations Mar 26, 2018

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Milicevic3306 asked in Others Mar 26, 2018

GATE2016-20
The power required for agitation of non-aerated medium in fermentation is ___________kW. Operating conditions are as follows: Fermentor diameter $= 3$ m Number of impellers $= 1$ Mixing speed $= 300$ rpm Diameter of the Rushton turbine $= 1$ m Viscosity of the broth $= 0.001$ Pa.s Density of the broth $= 1000$ kg.m$^{-3}$ Power number $= 5$

Milicevic3306 asked in Others Mar 26, 2018

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gate2016
numerical-answers

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Milicevic3306 asked in Probability and Statistics Mar 26, 2018

GATE2016-22
Runs scored by a batsman in five one-day matches are $55$, $75$, $67$, $88$ and $15$. The standard deviation is _________

Milicevic3306 asked in Probability and Statistics Mar 26, 2018

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gate2016
numerical-answers
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Milicevic3306 asked in Linear Algebra Mar 26, 2018

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The positive Eigen value of the following matrix is __________. $\begin{bmatrix} 2 & 1 \\ 5 & -2 \end{bmatrix}$

Milicevic3306 asked in Linear Algebra Mar 26, 2018

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gate2016
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